%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ALG292^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:37:51 AM UTC 2026
% Result : Theorem 1.60s 28.30s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 97 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 1651 ( 428 equ; 0 cnn)
% Maximal formula atoms : 10 ( 17 avg)
% Number of connectives : 5665 ( 112 ~; 128 |; 556 &;3473 @)
% ( 10 <=>; 529 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 505 ( 505 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 13 con; 0-2 aty)
% ( 596 !!; 261 ??; 0 @@+; 0 @@-)
% Number of variables : 1009 ( 874 ^; 111 !; 24 ?;1009 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_22,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK2: a > $o ).
thf(func_def_24,type,
sK3: a ).
thf(func_def_25,type,
sK4: a > a > a ).
thf(func_def_26,type,
sK5: a > a ).
thf(func_def_27,type,
sK6: a > a ).
thf(func_def_28,type,
sK7: a ).
thf(func_def_29,type,
sK8: a > $o ).
thf(func_def_30,type,
sK9: a ).
thf(func_def_31,type,
sK10: a > a > a ).
thf(func_def_32,type,
sK11: a > a > $o ).
thf(func_def_33,type,
sK12: a > a ).
thf(func_def_34,type,
sK13: a ).
thf(func_def_35,type,
sK14: ( a > $o ) > a ).
thf(func_def_36,type,
sK15: a > ( a > $o ) > a ).
thf(func_def_37,type,
sK16: a > a > $o ).
thf(func_def_38,type,
sK17: a ).
thf(func_def_39,type,
sK18: a > a > $o ).
thf(f512,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f47,f61,f167,f174,f502,f510]) ).
thf(f510,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f509]) ).
thf(f509,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f505]) ).
thf(f505,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f43,f57]) ).
thf(f57,plain,
( ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f56]) ).
thf(f56,definition,
( spl0_3
<=> ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f43,plain,
( ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f42]) ).
thf(f42,definition,
( spl0_1
<=> ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f502,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f501]) ).
thf(f501,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f498]) ).
thf(f498,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f242,f492]) ).
thf(f492,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f491]) ).
thf(f491,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f490,f247]) ).
thf(f247,plain,
( ( $false
= ( sK8 @ ( sK12 @ sK17 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f245]) ).
thf(f245,plain,
( ( $true = $false )
| ( $false
= ( sK8 @ ( sK12 @ sK17 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f182,f242]) ).
thf(f182,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ ( sK4 @ X1 @ sK7 ) ) )
| ( $false
= ( sK8 @ ( sK12 @ X1 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f181]) ).
thf(f181,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ ( sK4 @ X1 @ sK7 ) ) )
| ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK12 @ X1 ) ) ) ) ) )
=> ( sK8 @ ( sK12 @ X1 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f180]) ).
thf(f180,plain,
( ! [X1: a] :
( ( $false
= ( sK2 @ ( sK4 @ X1 @ sK7 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) )
@ ( sK12 @ X1 ) ) ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f176]) ).
thf(f176,plain,
( ! [X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false )
| ( $false
= ( sK2 @ ( sK4 @ X1 @ sK7 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f175]) ).
thf(f175,plain,
( ! [X1: a] :
( $false
= ( ( sK2 @ ( sK4 @ X1 @ sK7 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f168]) ).
thf(f168,plain,
( ! [X1: a] :
( $false
= ( ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
( ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f59]) ).
thf(f59,definition,
( spl0_4
<=> ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f490,plain,
( ( $true
= ( sK8 @ ( sK12 @ sK17 ) ) )
| ( $false
= ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f486]) ).
thf(f486,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) )
| ( $true = $false )
| ( $true
= ( sK8 @ ( sK12 @ sK17 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f312,f183]) ).
thf(f183,plain,
( ! [X1: a] :
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK12 @ X1 ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK4 @ X1 @ sK7 ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f181]) ).
thf(f312,plain,
( ! [X0: a] :
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK17 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X0 ) ) ) ) ) )
| ( $true
= ( sK8 @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f310]) ).
thf(f310,plain,
( ! [X0: a] :
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK17 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X0 ) ) ) ) ) )
| ( $true
= ( sK8 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f227,f281]) ).
thf(f281,plain,
( ! [X1: a] :
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK13 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK17 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f280]) ).
thf(f280,plain,
( ! [X1: a] :
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK17 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK13 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f279]) ).
thf(f279,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK17 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f243]) ).
thf(f243,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK17 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f241]) ).
thf(f241,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK17 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f240]) ).
thf(f240,plain,
( ( $true
= ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ sK13 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) )
@ sK17 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[status(thm)],[f186]) ).
thf(f186,plain,
( ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ sK13 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f185]) ).
thf(f185,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
& ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ sK13 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f184]) ).
thf(f184,plain,
( ( $true
= ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) )
@ sK13 ) )
| ~ spl0_1 ),
inference(sigma_clausification,[status(thm)],[f43]) ).
thf(f227,plain,
( ! [X1: a] :
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK13 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) ) )
| ( $true
= ( sK8 @ X1 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f226]) ).
thf(f226,plain,
( ! [X1: a] :
( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK13 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= X1 ) ) ) ) )
=> ( sK8 @ X1 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f221]) ).
thf(f221,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f187]) ).
thf(f187,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK13 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f185]) ).
thf(f242,plain,
( ( $true
= ( sK2 @ ( sK4 @ sK17 @ sK7 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f241]) ).
thf(f174,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f173]) ).
thf(f173,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f169]) ).
thf(f169,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f60,f46]) ).
thf(f46,plain,
( ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f45]) ).
thf(f45,definition,
( spl0_2
<=> ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f167,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f166]) ).
thf(f166,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f162]) ).
thf(f162,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f155,f54]) ).
thf(f54,plain,
( ( $true
= ( sK2 @ ( sK4 @ sK9 @ sK7 ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
( ( $true
= ( ( sK2 @ ( sK4 @ sK9 @ sK7 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK9 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
( ( $true
= ( ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) )
@ sK9 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f46]) ).
thf(f155,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK9 @ sK7 ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f154]) ).
thf(f154,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK9 @ sK7 ) ) )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[status(thm)],[f149]) ).
thf(f149,plain,
( ( $false
= ( sK2 @ ( sK4 @ sK9 @ sK7 ) ) )
| ( $true = $false )
| ( $false
= ( sK2 @ ( sK4 @ sK9 @ sK7 ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f111,f119]) ).
thf(f119,plain,
( ! [X0: a] :
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ sK9 @ X0 ) ) ) ) ) ) )
| ( ( sK2 @ ( sK4 @ X0 @ sK7 ) )
= $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f115]) ).
thf(f115,plain,
( ! [X0: a] :
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ sK9 @ X0 ) ) ) ) ) ) )
| ( ( sK2 @ ( sK4 @ X0 @ sK7 ) )
= $false )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f76,f53]) ).
thf(f53,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ sK9 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f52]) ).
thf(f76,plain,
( ! [X2: a,X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ X1 @ X2 ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK4 @ X2 @ sK7 ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ! [X2: a,X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false )
| ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X2 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ X1 @ X2 ) ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ X1 @ X2 ) ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK4 @ X2 @ sK7 ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f73]) ).
thf(f73,plain,
( ! [X2: a,X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false )
| ( $false
= ( sK2 @ ( sK4 @ X2 @ sK7 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X2 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) )
@ ( sK10 @ X1 @ X2 ) ) ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f69]) ).
thf(f69,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X2 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) ) ) )
| ( $false
= ( sK2 @ ( sK4 @ X2 @ sK7 ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X2 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ X2 @ sK7 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f67]) ).
thf(f67,plain,
( ! [X2: a,X1: a] :
( ( $false
= ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ X1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) )
@ X2 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false ) )
| ~ spl0_3 ),
inference(pi_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
( ! [X1: a] :
( ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ X1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
( ! [X1: a] :
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
& ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ X1 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y0 @ sK7 ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
( ! [X1: a] :
( $false
= ( ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_clausification,[status(thm)],[f57]) ).
thf(f111,plain,
( ! [X0: a] :
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK9 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ sK9 @ X0 ) ) ) ) ) ) )
| ( ( sK2 @ ( sK4 @ X0 @ sK7 ) )
= $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f107]) ).
thf(f107,plain,
( ! [X0: a] :
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ sK9 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ sK9 @ X0 ) ) ) ) ) ) )
| ( ( sK2 @ ( sK4 @ X0 @ sK7 ) )
= $false )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f75,f53]) ).
thf(f75,plain,
( ! [X2: a,X1: a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( Y1 @ X1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( sK6 @ Y2 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( ( sK5 @ Y2 )
= Y0 ) ) ) ) )
=> ( sK8 @ Y0 ) ) )
= $false )
| ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( Y0 @ X1 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( sK6 @ Y1 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( ( sK5 @ Y1 )
= ( sK10 @ X1 @ X2 ) ) ) ) ) )
= $false )
| ( $false
= ( sK2 @ ( sK4 @ X2 @ sK7 ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f74]) ).
thf(f61,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f38,f59,f56]) ).
thf(f38,plain,
( ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) )
| ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
( ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) )
!= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
( $false
= ( ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) )
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f34]) ).
thf(f34,plain,
( $false
= ( ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK2 @ ( sK4 @ Y1 @ sK7 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( Y0 @ Y2 ) ) ) ) )
= ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( Y0 @ Y2 ) ) )
& ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y2 @ sK7 ) ) ) ) ) ) )
@ sK8 ) ),
inference(sigma_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( sK2 @ ( sK4 @ Y1 @ sK7 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( Y0 @ Y2 ) ) ) ) )
= ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( Y0 @ Y2 ) ) )
& ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y2 @ sK7 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( sK2 @ ( sK4 @ Y2 @ Y0 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) ) ) )
= ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) )
& ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y2 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y3 @ Y0 ) ) ) ) ) ) ) )
@ sK7 )
= $false ),
inference(sigma_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( sK2 @ ( sK4 @ Y2 @ Y0 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) ) ) )
= ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) )
& ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y2 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y3 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( $false
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ?? @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sK6 @ Y2 ) ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
& ( ( sK6 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK5 @ ( sK4 @ Y0 @ Y1 ) )
= Y1 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK6 @ ( sK4 @ Y0 @ Y1 ) )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 != Y0 )
= ( ( sK4 @ ( sK6 @ Y0 ) @ ( sK5 @ Y0 ) )
= Y0 ) ) )
& ( ( sK5 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( sK2 @ ( sK4 @ Y2 @ Y0 ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) ) ) )
= ( ?? @ a
@ ^ [Y2: a] :
( ( !! @ a
@ ^ [Y3: a] :
( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
=> ( Y4 @ ( sK6 @ Y5 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( ( sK5 @ Y5 )
= Y3 ) ) ) ) )
=> ( Y1 @ Y3 ) ) )
& ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y2 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( sK6 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y3 @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
( $false
= ( ^ [Y0: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y1 @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK3 ) ) )
& ( ( Y0 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK5 @ ( sK4 @ Y1 @ Y2 ) )
= Y2 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( sK4 @ Y1 @ Y2 ) )
= Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 != Y1 )
= ( ( sK4 @ ( Y0 @ Y1 ) @ ( sK5 @ Y1 ) )
= Y1 ) ) )
& ( ( sK5 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( sK2 @ ( sK4 @ Y3 @ Y1 ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( Y0 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( Y2 @ Y4 ) ) ) ) )
= ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( Y0 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( Y2 @ Y4 ) ) )
& ( ?? @ a
@ ^ [Y4: a] :
( ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y0 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( sK5 @ Y7 )
= Y5 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y3 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y0 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( sK5 @ Y7 )
= Y5 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y4 @ Y1 ) ) ) ) ) ) ) ) ) )
@ sK6 ) ),
inference(sigma_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ?? @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y1 @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( Y1 @ sK3 ) ) )
& ( ( Y0 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK5 @ ( sK4 @ Y1 @ Y2 ) )
= Y2 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( sK4 @ Y1 @ Y2 ) )
= Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 != Y1 )
= ( ( sK4 @ ( Y0 @ Y1 ) @ ( sK5 @ Y1 ) )
= Y1 ) ) )
& ( ( sK5 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( sK2 @ ( sK4 @ Y3 @ Y1 ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( Y0 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( Y2 @ Y4 ) ) ) ) )
= ( ?? @ a
@ ^ [Y3: a] :
( ( !! @ a
@ ^ [Y4: a] :
( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( Y5 @ Y3 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
=> ( Y5 @ ( Y0 @ Y6 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( ( sK5 @ Y6 )
= Y4 ) ) ) ) )
=> ( Y2 @ Y4 ) ) )
& ( ?? @ a
@ ^ [Y4: a] :
( ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y0 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( sK5 @ Y7 )
= Y5 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y3 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y0 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( sK5 @ Y7 )
= Y5 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y4 @ Y1 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( $false
= ( ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y2 @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK3 ) ) )
& ( ( Y1 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ ( sK4 @ Y2 @ Y3 ) )
= Y3 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( sK4 @ Y2 @ Y3 ) )
= Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK3 != Y2 )
= ( ( sK4 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) )
= Y2 ) ) )
& ( ( Y0 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ?? @ a
@ ^ [Y4: a] :
( ( sK2 @ ( sK4 @ Y4 @ Y2 ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y1 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( Y0 @ Y7 )
= Y5 ) ) ) ) )
=> ( Y3 @ Y5 ) ) ) ) )
= ( ?? @ a
@ ^ [Y4: a] :
( ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y1 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( Y0 @ Y7 )
= Y5 ) ) ) ) )
=> ( Y3 @ Y5 ) ) )
& ( ?? @ a
@ ^ [Y5: a] :
( ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y1 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y0 @ Y8 )
= Y6 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y4 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y1 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y0 @ Y8 )
= Y6 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y5 @ Y2 ) ) ) ) ) ) ) ) ) ) )
@ sK5 ) ),
inference(sigma_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( $false
= ( !! @ ( a > a )
@ ^ [Y0: a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y2 @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( Y2 @ sK3 ) ) )
& ( ( Y1 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ ( sK4 @ Y2 @ Y3 ) )
= Y3 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( sK4 @ Y2 @ Y3 ) )
= Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK3 != Y2 )
= ( ( sK4 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) )
= Y2 ) ) )
& ( ( Y0 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ?? @ a
@ ^ [Y4: a] :
( ( sK2 @ ( sK4 @ Y4 @ Y2 ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y1 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( Y0 @ Y7 )
= Y5 ) ) ) ) )
=> ( Y3 @ Y5 ) ) ) ) )
= ( ?? @ a
@ ^ [Y4: a] :
( ( !! @ a
@ ^ [Y5: a] :
( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( Y6 @ Y4 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
=> ( Y6 @ ( Y1 @ Y7 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y7: a] :
( ( Y6 @ Y7 )
& ( ( Y0 @ Y7 )
= Y5 ) ) ) ) )
=> ( Y3 @ Y5 ) ) )
& ( ?? @ a
@ ^ [Y5: a] :
( ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y1 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y0 @ Y8 )
= Y6 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y4 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y1 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y0 @ Y8 )
= Y6 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y5 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: a > a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
=> ( Y3 @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( Y3 @ sK3 ) ) )
& ( ( Y2 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ ( Y0 @ Y3 @ Y4 ) )
= Y4 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( Y0 @ Y3 @ Y4 ) )
= Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 != Y3 )
= ( ( Y0 @ ( Y2 @ Y3 ) @ ( Y1 @ Y3 ) )
= Y3 ) ) )
& ( ( Y1 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ?? @ a
@ ^ [Y5: a] :
( ( sK2 @ ( Y0 @ Y5 @ Y3 ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y2 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y1 @ Y8 )
= Y6 ) ) ) ) )
=> ( Y4 @ Y6 ) ) ) ) )
= ( ?? @ a
@ ^ [Y5: a] :
( ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y2 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y1 @ Y8 )
= Y6 ) ) ) ) )
=> ( Y4 @ Y6 ) ) )
& ( ?? @ a
@ ^ [Y6: a] :
( ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y2 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y1 @ Y9 )
= Y7 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y5 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y2 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y1 @ Y9 )
= Y7 ) ) ) ) ) ) )
& ( sK2 @ ( Y0 @ Y6 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( $false
= ( !! @ ( a > a > a )
@ ^ [Y0: a > a > a] :
( !! @ ( a > a )
@ ^ [Y1: a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
=> ( Y3 @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( Y3 @ sK3 ) ) )
& ( ( Y2 @ sK3 )
= sK3 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y1 @ ( Y0 @ Y3 @ Y4 ) )
= Y4 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( Y0 @ Y3 @ Y4 ) )
= Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 != Y3 )
= ( ( Y0 @ ( Y2 @ Y3 ) @ ( Y1 @ Y3 ) )
= Y3 ) ) )
& ( ( Y1 @ sK3 )
= sK3 ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ?? @ a
@ ^ [Y5: a] :
( ( sK2 @ ( Y0 @ Y5 @ Y3 ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y2 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y1 @ Y8 )
= Y6 ) ) ) ) )
=> ( Y4 @ Y6 ) ) ) ) )
= ( ?? @ a
@ ^ [Y5: a] :
( ( !! @ a
@ ^ [Y6: a] :
( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( Y7 @ Y5 )
& ( !! @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
=> ( Y7 @ ( Y2 @ Y8 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y8: a] :
( ( Y7 @ Y8 )
& ( ( Y1 @ Y8 )
= Y6 ) ) ) ) )
=> ( Y4 @ Y6 ) ) )
& ( ?? @ a
@ ^ [Y6: a] :
( ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y2 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y1 @ Y9 )
= Y7 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y5 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y2 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y1 @ Y9 )
= Y7 ) ) ) ) ) ) )
& ( sK2 @ ( Y0 @ Y6 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: a] :
( !! @ ( a > a > a )
@ ^ [Y1: a > a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ Y6 )
=> ( Y4 @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( ( Y3 @ Y0 )
= Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ ( Y1 @ Y4 @ Y5 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ ( Y1 @ Y4 @ Y5 ) )
= Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y0 != Y4 )
= ( ( Y1 @ ( Y3 @ Y4 ) @ ( Y2 @ Y4 ) )
= Y4 ) ) )
& ( ( Y2 @ Y0 )
= Y0 ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( sK2 @ ( Y1 @ Y6 @ Y4 ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y3 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y2 @ Y9 )
= Y7 ) ) ) ) )
=> ( Y5 @ Y7 ) ) ) ) )
= ( ?? @ a
@ ^ [Y6: a] :
( ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y3 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y2 @ Y9 )
= Y7 ) ) ) ) )
=> ( Y5 @ Y7 ) ) )
& ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y3 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y2 @ Y10 )
= Y8 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y6 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y3 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y2 @ Y10 )
= Y8 ) ) ) ) ) ) )
& ( sK2 @ ( Y1 @ Y7 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > a )
@ ^ [Y1: a > a > a] :
( !! @ ( a > a )
@ ^ [Y2: a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ?? @ a
@ ^ [Y5: a] :
( ( Y4 @ Y5 )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ Y6 )
=> ( Y4 @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( ( Y3 @ Y0 )
= Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y2 @ ( Y1 @ Y4 @ Y5 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ ( Y1 @ Y4 @ Y5 ) )
= Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y0 != Y4 )
= ( ( Y1 @ ( Y3 @ Y4 ) @ ( Y2 @ Y4 ) )
= Y4 ) ) )
& ( ( Y2 @ Y0 )
= Y0 ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( sK2 @ ( Y1 @ Y6 @ Y4 ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y3 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y2 @ Y9 )
= Y7 ) ) ) ) )
=> ( Y5 @ Y7 ) ) ) ) )
= ( ?? @ a
@ ^ [Y6: a] :
( ( !! @ a
@ ^ [Y7: a] :
( ( !! @ ( a > $o )
@ ^ [Y8: a > $o] :
( ( ( Y8 @ Y6 )
& ( !! @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
=> ( Y8 @ ( Y3 @ Y9 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y9: a] :
( ( Y8 @ Y9 )
& ( ( Y2 @ Y9 )
= Y7 ) ) ) ) )
=> ( Y5 @ Y7 ) ) )
& ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y3 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y2 @ Y10 )
= Y8 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y6 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y3 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y2 @ Y10 )
= Y8 ) ) ) ) ) ) )
& ( sK2 @ ( Y1 @ Y7 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f8]) ).
thf(f8,plain,
( $false
= ( ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > a )
@ ^ [Y2: a > a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y5 @ Y7 )
=> ( Y5 @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( Y5 @ Y1 ) ) )
& ( ( Y4 @ Y1 )
= Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y3 @ ( Y2 @ Y5 @ Y6 ) )
= Y6 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ ( Y2 @ Y5 @ Y6 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 != Y5 )
= ( ( Y2 @ ( Y4 @ Y5 ) @ ( Y3 @ Y5 ) )
= Y5 ) ) )
& ( ( Y3 @ Y1 )
= Y1 ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ?? @ a
@ ^ [Y7: a] :
( ( Y0 @ ( Y2 @ Y7 @ Y5 ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) ) ) )
= ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) )
& ( ?? @ a
@ ^ [Y8: a] :
( ( !! @ a
@ ^ [Y9: a] :
( ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y8 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y7 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) ) ) )
& ( Y0 @ ( Y2 @ Y8 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > a )
@ ^ [Y2: a > a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y5 @ Y7 )
=> ( Y5 @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( Y5 @ Y1 ) ) )
& ( ( Y4 @ Y1 )
= Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y3 @ ( Y2 @ Y5 @ Y6 ) )
= Y6 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ ( Y2 @ Y5 @ Y6 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 != Y5 )
= ( ( Y2 @ ( Y4 @ Y5 ) @ ( Y3 @ Y5 ) )
= Y5 ) ) )
& ( ( Y3 @ Y1 )
= Y1 ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ?? @ a
@ ^ [Y7: a] :
( ( Y0 @ ( Y2 @ Y7 @ Y5 ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) ) ) )
= ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) )
& ( ?? @ a
@ ^ [Y8: a] :
( ( !! @ a
@ ^ [Y9: a] :
( ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y8 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y7 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) ) ) )
& ( Y0 @ ( Y2 @ Y8 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > a )
@ ^ [Y2: a > a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y5 @ Y7 )
=> ( Y5 @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( Y5 @ Y1 ) ) )
& ( ( Y4 @ Y1 )
= Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y3 @ ( Y2 @ Y5 @ Y6 ) )
= Y6 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ ( Y2 @ Y5 @ Y6 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 != Y5 )
= ( ( Y2 @ ( Y4 @ Y5 ) @ ( Y3 @ Y5 ) )
= Y5 ) ) )
& ( ( Y3 @ Y1 )
= Y1 ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ?? @ a
@ ^ [Y7: a] :
( ( Y0 @ ( Y2 @ Y7 @ Y5 ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) ) ) )
= ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) )
& ( ?? @ a
@ ^ [Y8: a] :
( ( !! @ a
@ ^ [Y9: a] :
( ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y8 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y7 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) ) ) )
& ( Y0 @ ( Y2 @ Y8 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > a )
@ ^ [Y2: a > a > a] :
( !! @ ( a > a )
@ ^ [Y3: a > a] :
( !! @ ( a > a )
@ ^ [Y4: a > a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ?? @ a
@ ^ [Y6: a] :
( ( Y5 @ Y6 )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y5 @ Y7 )
=> ( Y5 @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( Y5 @ Y1 ) ) )
& ( ( Y4 @ Y1 )
= Y1 )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y3 @ ( Y2 @ Y5 @ Y6 ) )
= Y6 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y4 @ ( Y2 @ Y5 @ Y6 ) )
= Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 != Y5 )
= ( ( Y2 @ ( Y4 @ Y5 ) @ ( Y3 @ Y5 ) )
= Y5 ) ) )
& ( ( Y3 @ Y1 )
= Y1 ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ?? @ a
@ ^ [Y7: a] :
( ( Y0 @ ( Y2 @ Y7 @ Y5 ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) ) ) )
= ( ?? @ a
@ ^ [Y7: a] :
( ( !! @ a
@ ^ [Y8: a] :
( ( !! @ ( a > $o )
@ ^ [Y9: a > $o] :
( ( ( Y9 @ Y7 )
& ( !! @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
=> ( Y9 @ ( Y4 @ Y10 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y10: a] :
( ( Y9 @ Y10 )
& ( ( Y3 @ Y10 )
= Y8 ) ) ) ) )
=> ( Y6 @ Y8 ) ) )
& ( ?? @ a
@ ^ [Y8: a] :
( ( !! @ a
@ ^ [Y9: a] :
( ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y8 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y10: a > $o] :
( ( ( Y10 @ Y7 )
& ( !! @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
=> ( Y10 @ ( Y4 @ Y11 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y11: a] :
( ( Y10 @ Y11 )
& ( ( Y3 @ Y11 )
= Y9 ) ) ) ) ) ) )
& ( Y0 @ ( Y2 @ Y8 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a,X1: a > a,X2: a > a > a,X3: a,X4: a > $o] :
( ( ( ( X1 @ X3 )
= X3 )
& ! [X5: a] :
( ( X3 != X5 )
<=> ( ( X2 @ ( X0 @ X5 ) @ ( X1 @ X5 ) )
= X5 ) )
& ! [X6: a,X7: a] :
( ( X0 @ ( X2 @ X7 @ X6 ) )
= X7 )
& ! [X8: a,X9: a] :
( ( X1 @ ( X2 @ X9 @ X8 ) )
= X8 )
& ( ( X0 @ X3 )
= X3 )
& ! [X10: a > $o] :
( ? [X11: a] :
( ! [X12: a] :
( ( X10 @ X12 )
=> ( X10 @ ( X0 @ X12 ) ) )
& ( X10 @ X11 ) )
=> ( X10 @ X3 ) ) )
=> ! [X13: a > $o,X14: a] :
( ? [X15: a] :
( ! [X16: a] :
( ! [X17: a > $o] :
( ( ! [X18: a] :
( ( X17 @ X18 )
=> ( X17 @ ( X0 @ X18 ) ) )
& ( X17 @ X15 ) )
=> ? [X19: a] :
( ( ( X1 @ X19 )
= X16 )
& ( X17 @ X19 ) ) )
=> ( X13 @ X16 ) )
& ( X4 @ ( X2 @ X15 @ X14 ) ) )
<=> ? [X20: a] :
( ? [X21: a] :
( ( X4 @ ( X2 @ X21 @ X14 ) )
& ! [X22: a] :
( ! [X23: a > $o] :
( ( ! [X24: a] :
( ( X23 @ X24 )
=> ( X23 @ ( X0 @ X24 ) ) )
& ( X23 @ X21 ) )
=> ? [X25: a] :
( ( ( X1 @ X25 )
= X22 )
& ( X23 @ X25 ) ) )
=> ! [X26: a > $o] :
( ( ! [X27: a] :
( ( X26 @ X27 )
=> ( X26 @ ( X0 @ X27 ) ) )
& ( X26 @ X20 ) )
=> ? [X28: a] :
( ( ( X1 @ X28 )
= X22 )
& ( X26 @ X28 ) ) ) ) )
& ! [X29: a] :
( ! [X30: a > $o] :
( ( ! [X31: a] :
( ( X30 @ X31 )
=> ( X30 @ ( X0 @ X31 ) ) )
& ( X30 @ X20 ) )
=> ? [X32: a] :
( ( ( X1 @ X32 )
= X29 )
& ( X30 @ X32 ) ) )
=> ( X13 @ X29 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > a,X3: a > a,X1: a > a > a,X0: a,X4: a > $o] :
( ( ( ( X3 @ X0 )
= X0 )
& ! [X7: a] :
( ( X0 != X7 )
<=> ( ( X1 @ ( X2 @ X7 ) @ ( X3 @ X7 ) )
= X7 ) )
& ! [X6: a,X5: a] :
( ( X2 @ ( X1 @ X5 @ X6 ) )
= X5 )
& ! [X6: a,X5: a] :
( ( X3 @ ( X1 @ X5 @ X6 ) )
= X6 )
& ( ( X2 @ X0 )
= X0 )
& ! [X8: a > $o] :
( ? [X7: a] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ( X8 @ ( X2 @ X9 ) ) )
& ( X8 @ X7 ) )
=> ( X8 @ X0 ) ) )
=> ! [X8: a > $o,X10: a] :
( ? [X5: a] :
( ! [X11: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X11 )
& ( X12 @ X14 ) ) )
=> ( X8 @ X11 ) )
& ( X4 @ ( X1 @ X5 @ X10 ) ) )
<=> ? [X5: a] :
( ? [X16: a] :
( ( X4 @ ( X1 @ X16 @ X10 ) )
& ! [X17: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X16 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X17 )
& ( X12 @ X14 ) ) )
=> ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X17 )
& ( X12 @ X14 ) ) ) ) )
& ! [X15: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X15 )
& ( X12 @ X14 ) ) )
=> ( X8 @ X15 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X2: a > a,X3: a > a,X1: a > a > a,X0: a,X4: a > $o] :
( ( ( ( X3 @ X0 )
= X0 )
& ! [X7: a] :
( ( X0 != X7 )
<=> ( ( X1 @ ( X2 @ X7 ) @ ( X3 @ X7 ) )
= X7 ) )
& ! [X6: a,X5: a] :
( ( X2 @ ( X1 @ X5 @ X6 ) )
= X5 )
& ! [X6: a,X5: a] :
( ( X3 @ ( X1 @ X5 @ X6 ) )
= X6 )
& ( ( X2 @ X0 )
= X0 )
& ! [X8: a > $o] :
( ? [X7: a] :
( ! [X9: a] :
( ( X8 @ X9 )
=> ( X8 @ ( X2 @ X9 ) ) )
& ( X8 @ X7 ) )
=> ( X8 @ X0 ) ) )
=> ! [X8: a > $o,X10: a] :
( ? [X5: a] :
( ! [X11: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X11 )
& ( X12 @ X14 ) ) )
=> ( X8 @ X11 ) )
& ( X4 @ ( X1 @ X5 @ X10 ) ) )
<=> ? [X5: a] :
( ? [X16: a] :
( ( X4 @ ( X1 @ X16 @ X10 ) )
& ! [X17: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X16 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X17 )
& ( X12 @ X14 ) ) )
=> ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X17 )
& ( X12 @ X14 ) ) ) ) )
& ! [X15: a] :
( ! [X12: a > $o] :
( ( ! [X13: a] :
( ( X12 @ X13 )
=> ( X12 @ ( X2 @ X13 ) ) )
& ( X12 @ X5 ) )
=> ? [X14: a] :
( ( ( X3 @ X14 )
= X15 )
& ( X12 @ X14 ) ) )
=> ( X8 @ X15 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.IlCEbYG36D/DTF2THF_334.p',cPU_X238A_pme) ).
thf(f47,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f37,f45,f42]) ).
thf(f37,plain,
( ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( sK2 @ ( sK4 @ Y0 @ sK7 ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) ) ) ) )
| ( $true
= ( ?? @ a
@ ^ [Y0: a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y2 @ ( sK6 @ Y3 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
& ( ( sK5 @ Y3 )
= Y1 ) ) ) ) )
=> ( sK8 @ Y1 ) ) )
& ( ?? @ a
@ ^ [Y1: a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y0 )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( Y3 @ ( sK6 @ Y4 ) ) ) ) )
=> ( ?? @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
& ( ( sK5 @ Y4 )
= Y2 ) ) ) ) ) ) )
& ( sK2 @ ( sK4 @ Y1 @ sK7 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG292^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n006.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 03:43:00 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.38 ---- Original DTF file ---
% 0.16/0.38 thf(spec,logic,$$dhol).
% 0.16/0.38 %------------------------------------------------------------------------------
% 0.16/0.38 % File : ALG292^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.38 % Domain : General Algebra (Domain theory)
% 0.16/0.38 % Problem : TPS problem from PU-LAMBDA-MODEL-THMS
% 0.16/0.38 % Version : Especial.
% 0.16/0.38 % English :
% 0.16/0.38
% 0.16/0.38 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.38 % Source : [Bro09]
% 0.16/0.38 % Names : tps_1198 [Bro09]
% 0.16/0.38
% 0.16/0.38 % Status : Theorem
% 0.16/0.38 % Rating : 0.78 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.85 v8.1.0, 0.91 v7.5.0, 0.86 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.86 v6.1.0, 0.57 v5.5.0, 0.33 v5.4.0, 0.60 v5.3.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.16/0.38 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.16/0.38 % Number of atoms : 10 ( 10 equ; 0 cnn)
% 0.16/0.38 % Maximal formula atoms : 10 ( 10 avg)
% 0.16/0.38 % Number of connectives : 83 ( 1 ~; 0 |; 17 &; 49 @)
% 0.16/0.38 % ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% 0.16/0.38 % Maximal formula depth : 23 ( 23 avg)
% 0.16/0.38 % Number of types : 2 ( 1 usr)
% 0.16/0.38 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.16/0.38 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.16/0.38 % Number of variables : 33 ( 0 ^; 25 !; 8 ?; 33 :)
% 0.16/0.38 % SPC : TH0_THM_EQU_NAR
% 0.16/0.38
% 0.16/0.38 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.38 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.38 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.38 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.38 %------------------------------------------------------------------------------
% 0.16/0.38 thf(a_type,type,
% 0.16/0.38 a: $tType ).
% 0.16/0.38
% 0.16/0.38 thf(cPU_X238A_pme,conjecture,
% 0.16/0.38 ! [Z: a,P: a > a > a,L: a > a,R: a > a,F: a > $o] :
% 0.16/0.38 ( ( ( ( L @ Z )
% 0.16/0.38 = Z )
% 0.16/0.38 & ( ( R @ Z )
% 0.16/0.38 = Z )
% 0.16/0.38 & ! [Xx: a,Xy: a] :
% 0.16/0.38 ( ( L @ ( P @ Xx @ Xy ) )
% 0.16/0.38 = Xx )
% 0.16/0.38 & ! [Xx: a,Xy: a] :
% 0.16/0.38 ( ( R @ ( P @ Xx @ Xy ) )
% 0.16/0.38 = Xy )
% 0.16/0.38 & ! [Xt: a] :
% 0.16/0.38 ( ( Xt != Z )
% 0.16/0.38 <=> ( Xt
% 0.16/0.38 = ( P @ ( L @ Xt ) @ ( R @ Xt ) ) ) )
% 0.16/0.38 & ! [X: a > $o] :
% 0.16/0.38 ( ? [Xt: a] :
% 0.16/0.38 ( ( X @ Xt )
% 0.16/0.38 & ! [Xu: a] :
% 0.16/0.38 ( ( X @ Xu )
% 0.16/0.38 => ( X @ ( L @ Xu ) ) ) )
% 0.16/0.38 => ( X @ Z ) ) )
% 0.16/0.38 => ! [X: a > $o,Xz: a] :
% 0.16/0.38 ( ? [Xx: a] :
% 0.16/0.38 ( ! [Xx_5: a] :
% 0.16/0.38 ( ! [X0: a > $o] :
% 0.16/0.38 ( ( ( X0 @ Xx )
% 0.16/0.38 & ! [Xz0: a] :
% 0.16/0.38 ( ( X0 @ Xz0 )
% 0.16/0.38 => ( X0 @ ( L @ Xz0 ) ) ) )
% 0.16/0.38 => ? [Xv: a] :
% 0.16/0.38 ( ( X0 @ Xv )
% 0.16/0.38 & ( ( R @ Xv )
% 0.16/0.38 = Xx_5 ) ) )
% 0.16/0.38 => ( X @ Xx_5 ) )
% 0.16/0.38 & ( F @ ( P @ Xx @ Xz ) ) )
% 0.16/0.38 <=> ? [Xx: a] :
% 0.16/0.38 ( ! [Xx_6: a] :
% 0.16/0.38 ( ! [X0: a > $o] :
% 0.16/0.38 ( ( ( X0 @ Xx )
% 0.16/0.38 & ! [Xz0: a] :
% 0.16/0.38 ( ( X0 @ Xz0 )
% 0.16/0.38 => ( X0 @ ( L @ Xz0 ) ) ) )
% 0.16/0.38 => ? [Xv: a] :
% 0.16/0.38 ( ( X0 @ Xv )
% 0.16/0.38 & ( ( R @ Xv )
% 0.16/0.38 = Xx_6 ) ) )
% 0.16/0.38 => ( X @ Xx_6 ) )
% 0.16/0.38 & ? [Xx_8: a] :
% 0.16/0.38 ( ! [Xx_7: a] :
% 0.16/0.38 ( ! [X0: a > $o] :
% 0.16/0.38 ( ( ( X0 @ Xx_8 )
% 0.16/0.38 & ! [Xz0: a] :
% 0.16/0.38 ( ( X0 @ Xz0 )
% 0.16/0.38 => ( X0 @ ( L @ Xz0 ) ) ) )
% 0.16/0.38 => ? [Xv: a] :
% 0.16/0.38 ( ( X0 @ Xv )
% 0.16/0.38 & ( ( R @ Xv )
% 0.16/0.38 = Xx_7 ) ) )
% 0.16/0.38 => ! [X0: a > $o] :
% 0.16/0.38 ( ( ( X0 @ Xx )
% 0.16/0.38 & ! [Xz0: a] :
% 0.16/0.38 ( ( X0 @ Xz0 )
% 0.16/0.38 => ( X0 @ ( L @ Xz0 ) ) ) )
% 0.16/0.38 => ? [Xv: a] :
% 0.16/0.38 ( ( X0 @ Xv )
% 0.16/0.38 & ( ( R @ Xv )
% 0.16/0.38 = Xx_7 ) ) ) )
% 0.16/0.38 & ( F @ ( P @ Xx_8 @ Xz ) ) ) ) ) ) ).
% 0.16/0.38
% 0.16/0.38 %------------------------------------------------------------------------------
% 0.16/0.38 ------------------------
% 1.42/1.28 ---- Embedded in THF ---
% 1.42/1.28 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.42/1.28 %%% Generated on Tue Feb 24 03:43:01 EST 2026
% 1.42/1.28 %%% using '$$dhol' embedding, version 1.3.0.
% 1.42/1.28 %%% Logic specification used:
% 1.42/1.28 %%% thf(spec, logic, $$dhol).
% 1.42/1.28
% 1.42/1.28 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.IlCEbYG36D/DTF2DTF334.p
% See solution above
% 1.42/1.28 ------------------------
% 1.42/1.29 ---- Cleaned THF ---
% 1.42/1.29 thf(a_type,type,
% 1.42/1.29 a: $tType ).
% 1.42/1.29
% 1.42/1.29 thf(cPU_X238A_pme,conjecture,
% 1.42/1.29 ! [Z: a,P: a > a > a,L: a > a,R: a > a,F: a > $o] :
% 1.42/1.29 ( ( ( ( L @ Z )
% 1.42/1.29 = Z )
% 1.42/1.29 & ( ( R @ Z )
% 1.42/1.29 = Z )
% 1.42/1.29 & ! [Xx: a,Xy: a] :
% 1.42/1.29 ( ( L @ ( P @ Xx @ Xy ) )
% 1.42/1.29 = Xx )
% 1.42/1.29 & ! [Xx: a,Xy: a] :
% 1.42/1.29 ( ( R @ ( P @ Xx @ Xy ) )
% 1.42/1.29 = Xy )
% 1.42/1.29 & ! [Xt: a] :
% 1.42/1.29 ( ( Xt != Z )
% 1.42/1.29 <=> ( Xt
% 1.42/1.29 = ( P @ ( L @ Xt ) @ ( R @ Xt ) ) ) )
% 1.42/1.29 & ! [X: a > $o] :
% 1.42/1.29 ( ? [Xt: a] :
% 1.42/1.29 ( ( X @ Xt )
% 1.42/1.29 & ! [Xu: a] :
% 1.42/1.29 ( ( X @ Xu )
% 1.42/1.29 => ( X @ ( L @ Xu ) ) ) )
% 1.42/1.29 => ( X @ Z ) ) )
% 1.42/1.29 => ! [X: a > $o,Xz: a] :
% 1.42/1.29 ( ? [Xx: a] :
% 1.42/1.29 ( ! [Xx_5: a] :
% 1.42/1.29 ( ! [X0: a > $o] :
% 1.42/1.29 ( ( ( X0 @ Xx )
% 1.42/1.29 & ! [Xz0: a] :
% 1.42/1.29 ( ( X0 @ Xz0 )
% 1.42/1.29 => ( X0 @ ( L @ Xz0 ) ) ) )
% 1.42/1.29 => ? [Xv: a] :
% 1.42/1.29 ( ( X0 @ Xv )
% 1.42/1.29 & ( ( R @ Xv )
% 1.42/1.29 = Xx_5 ) ) )
% 1.42/1.29 => ( X @ Xx_5 ) )
% 1.42/1.29 & ( F @ ( P @ Xx @ Xz ) ) )
% 1.42/1.29 <=> ? [Xx: a] :
% 1.42/1.29 ( ! [Xx_6: a] :
% 1.42/1.29 ( ! [X0: a > $o] :
% 1.42/1.29 ( ( ( X0 @ Xx )
% 1.42/1.29 & ! [Xz0: a] :
% 1.42/1.29 ( ( X0 @ Xz0 )
% 1.42/1.29 => ( X0 @ ( L @ Xz0 ) ) ) )
% 1.42/1.29 => ? [Xv: a] :
% 1.42/1.29 ( ( X0 @ Xv )
% 1.42/1.29 & ( ( R @ Xv )
% 1.42/1.29 = Xx_6 ) ) )
% 1.42/1.29 => ( X @ Xx_6 ) )
% 1.42/1.29 & ? [Xx_8: a] :
% 1.42/1.29 ( ! [Xx_7: a] :
% 1.42/1.29 ( ! [X0: a > $o] :
% 1.42/1.29 ( ( ( X0 @ Xx_8 )
% 1.42/1.29 & ! [Xz0: a] :
% 1.42/1.29 ( ( X0 @ Xz0 )
% 1.42/1.29 => ( X0 @ ( L @ Xz0 ) ) ) )
% 1.42/1.29 => ? [Xv: a] :
% 1.42/1.29 ( ( X0 @ Xv )
% 1.42/1.29 & ( ( R @ Xv )
% 1.42/1.29 = Xx_7 ) ) )
% 1.42/1.29 => ! [X0: a > $o] :
% 1.42/1.29 ( ( ( X0 @ Xx )
% 1.42/1.29 & ! [Xz0: a] :
% 1.42/1.29 ( ( X0 @ Xz0 )
% 1.42/1.29 => ( X0 @ ( L @ Xz0 ) ) ) )
% 1.42/1.29 => ? [Xv: a] :
% 1.42/1.29 ( ( X0 @ Xv )
% 1.42/1.29 & ( ( R @ Xv )
% 1.42/1.29 = Xx_7 ) ) ) )
% 1.42/1.29 & ( F @ ( P @ Xx_8 @ Xz ) ) ) ) ) ) ).
% 1.42/1.29 ------------------------
% 1.60/1.31 % (440)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/2Mi)
% 1.60/1.31 % (436)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/183Mi)
% 1.60/1.31 % (442)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/18Mi)
% 1.60/1.31 % (441)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/275Mi)
% 1.60/1.31 % (437)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/4Mi)
% 1.60/1.31 % (439)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/2Mi)
% 1.60/1.31 % (438)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/27Mi)
% 1.60/1.31 % (439)Instruction limit reached!
% 1.60/1.31 % (439)------------------------------
% 1.60/1.31 % (439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (439)Termination reason: Unknown
% 1.60/1.31 % (439)Termination phase: Naming
% 1.60/1.31
% 1.60/1.31 % (439)Memory used [KB]: 1023
% 1.60/1.31 % (439)Time elapsed: 0.003 s
% 1.60/1.31 % (439)Instructions burned: 2 (million)
% 1.60/1.31 % (439)------------------------------
% 1.60/1.31 % (439)------------------------------
% 1.60/1.31 % (440)Instruction limit reached!
% 1.60/1.31 % (440)------------------------------
% 1.60/1.31 % (440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (440)Termination reason: Unknown
% 1.60/1.31 % (440)Termination phase: shuffling
% 1.60/1.31
% 1.60/1.31 % (440)Memory used [KB]: 1023
% 1.60/1.31 % (440)Time elapsed: 0.003 s
% 1.60/1.31 % (440)Instructions burned: 3 (million)
% 1.60/1.31 % (440)------------------------------
% 1.60/1.31 % (440)------------------------------
% 1.60/1.31 % (437)Instruction limit reached!
% 1.60/1.31 % (437)------------------------------
% 1.60/1.31 % (437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.31 % (437)Termination reason: Unknown
% 1.60/1.31 % (437)Termination phase: Preprocessing 3
% 1.60/1.31
% 1.60/1.31 % (437)Memory used [KB]: 1023
% 1.60/1.31 % (437)Time elapsed: 0.004 s
% 1.60/1.31 % (437)Instructions burned: 4 (million)
% 1.60/1.31 % (437)------------------------------
% 1.60/1.31 % (437)------------------------------
% 1.60/1.32 % (442)Instruction limit reached!
% 1.60/1.32 % (442)------------------------------
% 1.60/1.32 % (442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.32 % (442)Termination reason: Unknown
% 1.60/1.32 % (442)Termination phase: Saturation
% 1.60/1.32
% 1.60/1.32 % (442)Memory used [KB]: 5628
% 1.60/1.32 % (442)Time elapsed: 0.010 s
% 1.60/1.32 % (442)Instructions burned: 18 (million)
% 1.60/1.32 % (442)------------------------------
% 1.60/1.32 % (442)------------------------------
% 1.60/1.32 % (438)Instruction limit reached!
% 1.60/1.32 % (438)------------------------------
% 1.60/1.32 % (438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.32 % (438)Termination reason: Unknown
% 1.60/1.32 % (438)Termination phase: Saturation
% 1.60/1.32
% 1.60/1.32 % (438)Memory used [KB]: 5628
% 1.60/1.32 % (438)Time elapsed: 0.014 s
% 1.60/1.32 % (438)Instructions burned: 27 (million)
% 1.60/1.32 % (438)------------------------------
% 1.60/1.32 % (438)------------------------------
% 1.60/1.33 % (443)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/3Mi)
% 1.60/1.33 % (444)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/37Mi)
% 1.60/1.33 % (445)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/15Mi)
% 1.60/1.33 % (443)Instruction limit reached!
% 1.60/1.33 % (443)------------------------------
% 1.60/1.33 % (443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.33 % (443)Termination reason: Unknown
% 1.60/1.33 % (443)Termination phase: Preprocessing 3
% 1.60/1.33
% 1.60/1.33 % (443)Memory used [KB]: 1023
% 1.60/1.33 % (443)Time elapsed: 0.003 s
% 1.60/1.33 % (443)Instructions burned: 3 (million)
% 1.60/1.33 % (443)------------------------------
% 1.60/1.33 % (443)------------------------------
% 1.60/1.33 % (446)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/3Mi)
% 1.60/1.34 % (445)Instruction limit reached!
% 1.60/1.34 % (445)------------------------------
% 1.60/1.34 % (445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.34 % (445)Termination reason: Unknown
% 1.60/1.34 % (445)Termination phase: Saturation
% 1.60/1.34
% 1.60/1.34 % (445)Memory used [KB]: 1279
% 1.60/1.34 % (445)Time elapsed: 0.009 s
% 1.60/1.34 % (445)Instructions burned: 16 (million)
% 1.60/1.34 % (445)------------------------------
% 1.60/1.34 % (445)------------------------------
% 1.60/1.34 % (446)Instruction limit reached!
% 1.60/1.34 % (446)------------------------------
% 1.60/1.34 % (446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.34 % (446)Termination reason: Unknown
% 1.60/1.34 % (446)Termination phase: Preprocessing 3
% 1.60/1.34
% 1.60/1.34 % (446)Memory used [KB]: 1023
% 1.60/1.34 % (446)Time elapsed: 0.003 s
% 1.60/1.34 % (446)Instructions burned: 4 (million)
% 1.60/1.34 % (446)------------------------------
% 1.60/1.34 % (446)------------------------------
% 1.60/1.34 % (447)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/1041Mi)
% 1.60/1.34 % (444)Instruction limit reached!
% 1.60/1.34 % (444)------------------------------
% 1.60/1.34 % (444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.34 % (444)Termination reason: Unknown
% 1.60/1.34 % (444)Termination phase: Saturation
% 1.60/1.34
% 1.60/1.34 % (444)Memory used [KB]: 5628
% 1.60/1.34 % (444)Time elapsed: 0.018 s
% 1.60/1.34 % (444)Instructions burned: 37 (million)
% 1.60/1.34 % (444)------------------------------
% 1.60/1.34 % (444)------------------------------
% 1.60/1.35 % (448)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/7Mi)
% 1.60/1.35 % (448)Instruction limit reached!
% 1.60/1.35 % (448)------------------------------
% 1.60/1.35 % (448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.35 % (448)Termination reason: Unknown
% 1.60/1.35 % (448)Termination phase: Property scanning
% 1.60/1.35
% 1.60/1.35 % (448)Memory used [KB]: 1151
% 1.60/1.35 % (448)Time elapsed: 0.005 s
% 1.60/1.35 % (448)Instructions burned: 8 (million)
% 1.60/1.35 % (448)------------------------------
% 1.60/1.35 % (448)------------------------------
% 1.60/1.35 % (449)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/16Mi)
% 1.60/1.35 % (450)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/3Mi)
% 1.60/1.35 % (450)Instruction limit reached!
% 1.60/1.35 % (450)------------------------------
% 1.60/1.35 % (450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.35 % (450)Termination reason: Unknown
% 1.60/1.35 % (450)Termination phase: Preprocessing 3
% 1.60/1.35
% 1.60/1.35 % (450)Memory used [KB]: 1023
% 1.60/1.35 % (450)Time elapsed: 0.003 s
% 1.60/1.35 % (450)Instructions burned: 4 (million)
% 1.60/1.35 % (450)------------------------------
% 1.60/1.35 % (450)------------------------------
% 1.60/1.36 % (449)Instruction limit reached!
% 1.60/1.36 % (449)------------------------------
% 1.60/1.36 % (449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.36 % (449)Termination reason: Unknown
% 1.60/1.36 % (449)Termination phase: Saturation
% 1.60/1.36
% 1.60/1.36 % (449)Memory used [KB]: 5628
% 1.60/1.36 % (449)Time elapsed: 0.009 s
% 1.60/1.36 % (449)Instructions burned: 16 (million)
% 1.60/1.36 % (449)------------------------------
% 1.60/1.36 % (449)------------------------------
% 1.60/1.36 % (451)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/3Mi)
% 1.60/1.36 % (451)Instruction limit reached!
% 1.60/1.36 % (451)------------------------------
% 1.60/1.36 % (451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.36 % (451)Termination reason: Unknown
% 1.60/1.36 % (451)Termination phase: Preprocessing 3
% 1.60/1.36
% 1.60/1.36 % (451)Memory used [KB]: 1023
% 1.60/1.36 % (451)Time elapsed: 0.003 s
% 1.60/1.36 % (451)Instructions burned: 3 (million)
% 1.60/1.36 % (451)------------------------------
% 1.60/1.36 % (451)------------------------------
% 1.60/1.36 % (452)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/7Mi)
% 1.60/1.37 % (452)Instruction limit reached!
% 1.60/1.37 % (452)------------------------------
% 1.60/1.37 % (452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.37 % (452)Termination reason: Unknown
% 1.60/1.37 % (452)Termination phase: Property scanning
% 1.60/1.37
% 1.60/1.37 % (452)Memory used [KB]: 1151
% 1.60/1.37 % (452)Time elapsed: 0.005 s
% 1.60/1.37 % (452)Instructions burned: 8 (million)
% 1.60/1.37 % (452)------------------------------
% 1.60/1.37 % (452)------------------------------
% 1.60/1.37 % (453)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/3Mi)
% 1.60/1.37 % (453)Instruction limit reached!
% 1.60/1.37 % (453)------------------------------
% 1.60/1.37 % (453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.37 % (453)Termination reason: Unknown
% 1.60/1.37 % (453)Termination phase: Preprocessing 1
% 1.60/1.37
% 1.60/1.37 % (453)Memory used [KB]: 1023
% 1.60/1.37 % (453)Time elapsed: 0.003 s
% 1.60/1.37 % (453)Instructions burned: 4 (million)
% 1.60/1.37 % (453)------------------------------
% 1.60/1.37 % (453)------------------------------
% 1.60/1.38 % (454)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/4Mi)
% 1.60/1.38 % (455)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/18Mi)
% 1.60/1.38 % (454)Instruction limit reached!
% 1.60/1.38 % (454)------------------------------
% 1.60/1.38 % (454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.38 % (454)Termination reason: Unknown
% 1.60/1.38 % (454)Termination phase: Preprocessing 3
% 1.60/1.38
% 1.60/1.38 % (454)Memory used [KB]: 1151
% 1.60/1.38 % (454)Time elapsed: 0.004 s
% 1.60/1.38 % (454)Instructions burned: 5 (million)
% 1.60/1.38 % (454)------------------------------
% 1.60/1.38 % (454)------------------------------
% 1.60/1.38 % (456)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/710Mi)
% 1.60/1.39 % (455)Instruction limit reached!
% 1.60/1.39 % (455)------------------------------
% 1.60/1.39 % (455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.39 % (455)Termination reason: Unknown
% 1.60/1.39 % (455)Termination phase: Saturation
% 1.60/1.39
% 1.60/1.39 % (455)Memory used [KB]: 5756
% 1.60/1.39 % (455)Time elapsed: 0.010 s
% 1.60/1.39 % (455)Instructions burned: 18 (million)
% 1.60/1.39 % (455)------------------------------
% 1.60/1.39 % (455)------------------------------
% 1.60/1.39 % (457)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/6Mi)
% 1.60/1.39 % (457)Instruction limit reached!
% 1.60/1.39 % (457)------------------------------
% 1.60/1.39 % (457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.39 % (457)Termination reason: Unknown
% 1.60/1.39 % (457)Termination phase: Property scanning
% 1.60/1.39
% 1.60/1.39 % (457)Memory used [KB]: 1151
% 1.60/1.39 % (457)Time elapsed: 0.004 s
% 1.60/1.39 % (457)Instructions burned: 6 (million)
% 1.60/1.39 % (457)------------------------------
% 1.60/1.39 % (457)------------------------------
% 1.60/1.39 % (458)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/902Mi)
% 1.60/1.40 % (436)Instruction limit reached!
% 1.60/1.40 % (436)------------------------------
% 1.60/1.40 % (436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.40 % (436)Termination reason: Unknown
% 1.60/1.40 % (436)Termination phase: Saturation
% 1.60/1.40
% 1.60/1.40 % (436)Memory used [KB]: 6652
% 1.60/1.40 % (436)Time elapsed: 0.091 s
% 1.60/1.40 % (436)Instructions burned: 183 (million)
% 1.60/1.40 % (436)------------------------------
% 1.60/1.40 % (436)------------------------------
% 1.60/1.40 % (459)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/21Mi)
% 1.60/1.41 % (460)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/5Mi)
% 1.60/1.41 % (460)Instruction limit reached!
% 1.60/1.41 % (460)------------------------------
% 1.60/1.41 % (460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.41 % (460)Termination reason: Unknown
% 1.60/1.41 % (460)Termination phase: Saturation
% 1.60/1.41
% 1.60/1.41 % (460)Memory used [KB]: 5500
% 1.60/1.41 % (460)Time elapsed: 0.004 s
% 1.60/1.41 % (460)Instructions burned: 6 (million)
% 1.60/1.41 % (460)------------------------------
% 1.60/1.41 % (460)------------------------------
% 1.60/1.41 % (459)Instruction limit reached!
% 1.60/1.41 % (459)------------------------------
% 1.60/1.41 % (459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.41 % (459)Termination reason: Unknown
% 1.60/1.41 % (459)Termination phase: Saturation
% 1.60/1.41
% 1.60/1.41 % (459)Memory used [KB]: 5756
% 1.60/1.41 % (459)Time elapsed: 0.012 s
% 1.60/1.41 % (459)Instructions burned: 22 (million)
% 1.60/1.41 % (459)------------------------------
% 1.60/1.41 % (459)------------------------------
% 1.60/1.42 % (461)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_334 for (2999ds/6Mi)
% 1.60/1.42 % (461)Instruction limit reached!
% 1.60/1.42 % (461)------------------------------
% 1.60/1.42 % (461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.42 % (461)Termination reason: Unknown
% 1.60/1.42 % (461)Termination phase: Saturation
% 1.60/1.42
% 1.60/1.42 % (461)Memory used [KB]: 5500
% 1.60/1.42 % (461)Time elapsed: 0.004 s
% 1.60/1.42 % (461)Instructions burned: 6 (million)
% 1.60/1.42 % (461)------------------------------
% 1.60/1.42 % (461)------------------------------
% 1.60/1.42 % (462)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/377Mi)
% 1.60/1.43 % (463)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/779Mi)
% 1.60/1.43 % (464)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/19Mi)
% 1.60/1.44 % (441)Instruction limit reached!
% 1.60/1.44 % (441)------------------------------
% 1.60/1.44 % (441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.44 % (441)Termination reason: Unknown
% 1.60/1.44 % (441)Termination phase: Saturation
% 1.60/1.44
% 1.60/1.44 % (441)Memory used [KB]: 6524
% 1.60/1.44 % (441)Time elapsed: 0.132 s
% 1.60/1.44 % (441)Instructions burned: 276 (million)
% 1.60/1.44 % (441)------------------------------
% 1.60/1.44 % (441)------------------------------
% 1.60/1.44 % (464)Instruction limit reached!
% 1.60/1.44 % (464)------------------------------
% 1.60/1.44 % (464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.44 % (464)Termination reason: Unknown
% 1.60/1.44 % (464)Termination phase: Saturation
% 1.60/1.44
% 1.60/1.44 % (464)Memory used [KB]: 5500
% 1.60/1.44 % (464)Time elapsed: 0.010 s
% 1.60/1.44 % (464)Instructions burned: 20 (million)
% 1.60/1.44 % (464)------------------------------
% 1.60/1.44 % (464)------------------------------
% 1.60/1.46 % (465)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/879Mi)
% 1.60/1.46 % (466)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/17Mi)
% 1.60/1.47 % (466)Instruction limit reached!
% 1.60/1.47 % (466)------------------------------
% 1.60/1.47 % (466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.47 % (466)Termination reason: Unknown
% 1.60/1.47 % (466)Termination phase: Saturation
% 1.60/1.47
% 1.60/1.47 % (466)Memory used [KB]: 5756
% 1.60/1.47 % (466)Time elapsed: 0.010 s
% 1.60/1.47 % (466)Instructions burned: 18 (million)
% 1.60/1.47 % (466)------------------------------
% 1.60/1.47 % (466)------------------------------
% 1.60/1.48 % (467)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/3Mi)
% 1.60/1.48 % (467)Instruction limit reached!
% 1.60/1.48 % (467)------------------------------
% 1.60/1.48 % (467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.48 % (467)Termination reason: Unknown
% 1.60/1.48 % (467)Termination phase: Preprocessing 3
% 1.60/1.48
% 1.60/1.48 % (467)Memory used [KB]: 1023
% 1.60/1.48 % (467)Time elapsed: 0.003 s
% 1.60/1.48 % (467)Instructions burned: 4 (million)
% 1.60/1.48 % (467)------------------------------
% 1.60/1.48 % (467)------------------------------
% 1.60/1.50 % (468)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_334 for (2998ds/30Mi)
% 1.60/1.51 % (468)Instruction limit reached!
% 1.60/1.51 % (468)------------------------------
% 1.60/1.51 % (468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.51 % (468)Termination reason: Unknown
% 1.60/1.51 % (468)Termination phase: Saturation
% 1.60/1.51
% 1.60/1.51 % (468)Memory used [KB]: 5756
% 1.60/1.51 % (468)Time elapsed: 0.016 s
% 1.60/1.51 % (468)Instructions burned: 30 (million)
% 1.60/1.51 % (468)------------------------------
% 1.60/1.51 % (468)------------------------------
% 1.60/1.53 % (469)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_334 for (2997ds/127Mi)
% 1.60/1.59 % (469)Instruction limit reached!
% 1.60/1.59 % (469)------------------------------
% 1.60/1.59 % (469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.59 % (469)Termination reason: Unknown
% 1.60/1.59 % (469)Termination phase: Saturation
% 1.60/1.59
% 1.60/1.59 % (469)Memory used [KB]: 6268
% 1.60/1.59 % (469)Time elapsed: 0.062 s
% 1.60/1.59 % (469)Instructions burned: 127 (million)
% 1.60/1.59 % (469)------------------------------
% 1.60/1.59 % (469)------------------------------
% 1.60/1.61 % (470)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_334 for (2997ds/100Mi)
% 1.60/1.61 % (462)Instruction limit reached!
% 1.60/1.61 % (462)------------------------------
% 1.60/1.61 % (462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.61 % (462)Termination reason: Unknown
% 1.60/1.61 % (462)Termination phase: Saturation
% 1.60/1.61
% 1.60/1.61 % (462)Memory used [KB]: 6268
% 1.60/1.61 % (462)Time elapsed: 0.186 s
% 1.60/1.61 % (462)Instructions burned: 378 (million)
% 1.60/1.61 % (462)------------------------------
% 1.60/1.61 % (462)------------------------------
% 1.60/1.63 % (471)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_334 for (2996ds/3Mi)
% 1.60/1.63 % (471)Instruction limit reached!
% 1.60/1.63 % (471)------------------------------
% 1.60/1.63 % (471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.63 % (471)Termination reason: Unknown
% 1.60/1.63 % (471)Termination phase: Property scanning
% 1.60/1.63
% 1.60/1.63 % (471)Memory used [KB]: 1023
% 1.60/1.63 % (471)Time elapsed: 0.003 s
% 1.60/1.63 % (471)Instructions burned: 3 (million)
% 1.60/1.63 % (471)------------------------------
% 1.60/1.63 % (471)------------------------------
% 1.60/1.64 % (472)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_334 for (2996ds/20Mi)
% 1.60/1.65 % (472)Instruction limit reached!
% 1.60/1.65 % (472)------------------------------
% 1.60/1.65 % (472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.65 % (472)Termination reason: Unknown
% 1.60/1.65 % (472)Termination phase: Saturation
% 1.60/1.65
% 1.60/1.65 % (472)Memory used [KB]: 5756
% 1.60/1.65 % (472)Time elapsed: 0.011 s
% 1.60/1.65 % (472)Instructions burned: 20 (million)
% 1.60/1.65 % (472)------------------------------
% 1.60/1.65 % (472)------------------------------
% 1.60/1.66 % (470)Instruction limit reached!
% 1.60/1.66 % (470)------------------------------
% 1.60/1.66 % (470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.66 % (470)Termination reason: Unknown
% 1.60/1.66 % (470)Termination phase: Saturation
% 1.60/1.66
% 1.60/1.66 % (470)Memory used [KB]: 6268
% 1.60/1.66 % (470)Time elapsed: 0.073 s
% 1.60/1.66 % (470)Instructions burned: 101 (million)
% 1.60/1.66 % (470)------------------------------
% 1.60/1.66 % (470)------------------------------
% 1.60/1.67 % (473)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_334 for (2996ds/86Mi)
% 1.60/1.67 % (474)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_334 for (2996ds/107Mi)
% 1.60/1.71 % (473)Instruction limit reached!
% 1.60/1.71 % (473)------------------------------
% 1.60/1.71 % (473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.71 % (473)Termination reason: Unknown
% 1.60/1.71 % (473)Termination phase: Saturation
% 1.60/1.71
% 1.60/1.71 % (473)Memory used [KB]: 6268
% 1.60/1.71 % (473)Time elapsed: 0.044 s
% 1.60/1.71 % (473)Instructions burned: 88 (million)
% 1.60/1.71 % (473)------------------------------
% 1.60/1.71 % (473)------------------------------
% 1.60/1.72 % (456)Instruction limit reached!
% 1.60/1.72 % (456)------------------------------
% 1.60/1.72 % (456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.72 % (456)Termination reason: Unknown
% 1.60/1.72 % (456)Termination phase: Saturation
% 1.60/1.72
% 1.60/1.72 % (456)Memory used [KB]: 7803
% 1.60/1.72 % (456)Time elapsed: 0.336 s
% 1.60/1.72 % (456)Instructions burned: 712 (million)
% 1.60/1.72 % (456)------------------------------
% 1.60/1.72 % (456)------------------------------
% 1.60/1.73 % (475)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_334 for (2995ds/39Mi)
% 1.60/1.73 % (474)Instruction limit reached!
% 1.60/1.73 % (474)------------------------------
% 1.60/1.73 % (474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.73 % (474)Termination reason: Unknown
% 1.60/1.73 % (474)Termination phase: Saturation
% 1.60/1.73
% 1.60/1.73 % (474)Memory used [KB]: 6268
% 1.60/1.73 % (474)Time elapsed: 0.055 s
% 1.60/1.73 % (474)Instructions burned: 107 (million)
% 1.60/1.73 % (474)------------------------------
% 1.60/1.73 % (474)------------------------------
% 1.60/1.73 % (476)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_334 for (2995ds/448Mi)
% 1.60/1.74 % (477)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_334 for (2995ds/46Mi)
% 1.60/1.75 % (475)Instruction limit reached!
% 1.60/1.75 % (475)------------------------------
% 1.60/1.75 % (475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.75 % (475)Termination reason: Unknown
% 1.60/1.75 % (475)Termination phase: Saturation
% 1.60/1.75
% 1.60/1.75 % (475)Memory used [KB]: 5628
% 1.60/1.75 % (475)Time elapsed: 0.020 s
% 1.60/1.75 % (475)Instructions burned: 40 (million)
% 1.60/1.75 % (475)------------------------------
% 1.60/1.75 % (475)------------------------------
% 1.60/1.76 % (478)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_334 for (2995ds/98Mi)
% 1.60/1.77 % (477)Instruction limit reached!
% 1.60/1.77 % (477)------------------------------
% 1.60/1.77 % (477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.77 % (477)Termination reason: Unknown
% 1.60/1.77 % (477)Termination phase: Saturation
% 1.60/1.77
% 1.60/1.77 % (477)Memory used [KB]: 5884
% 1.60/1.77 % (477)Time elapsed: 0.024 s
% 1.60/1.77 % (477)Instructions burned: 46 (million)
% 1.60/1.77 % (477)------------------------------
% 1.60/1.77 % (477)------------------------------
% 1.60/1.78 % (479)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_334 for (2995ds/507Mi)
% 1.60/1.80 % (463)Instruction limit reached!
% 1.60/1.80 % (463)------------------------------
% 1.60/1.80 % (463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.80 % (463)Termination reason: Unknown
% 1.60/1.80 % (463)Termination phase: Saturation
% 1.60/1.80
% 1.60/1.80 % (463)Memory used [KB]: 6908
% 1.60/1.80 % (463)Time elapsed: 0.374 s
% 1.60/1.80 % (463)Instructions burned: 779 (million)
% 1.60/1.80 % (463)------------------------------
% 1.60/1.80 % (463)------------------------------
% 1.60/1.81 % (458)Instruction limit reached!
% 1.60/1.81 % (458)------------------------------
% 1.60/1.81 % (458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.81 % (458)Termination reason: Unknown
% 1.60/1.81 % (458)Termination phase: Saturation
% 1.60/1.81
% 1.60/1.81 % (458)Memory used [KB]: 7547
% 1.60/1.81 % (458)Time elapsed: 0.413 s
% 1.60/1.81 % (458)Instructions burned: 903 (million)
% 1.60/1.81 % (458)------------------------------
% 1.60/1.81 % (458)------------------------------
% 1.60/1.81 % (478)Instruction limit reached!
% 1.60/1.81 % (478)------------------------------
% 1.60/1.81 % (478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.81 % (478)Termination reason: Unknown
% 1.60/1.81 % (478)Termination phase: Saturation
% 1.60/1.81
% 1.60/1.81 % (478)Memory used [KB]: 1279
% 1.60/1.81 % (478)Time elapsed: 0.049 s
% 1.60/1.81 % (478)Instructions burned: 99 (million)
% 1.60/1.81 % (478)------------------------------
% 1.60/1.81 % (478)------------------------------
% 1.60/1.82 % (481)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/149Mi)
% 1.60/1.82 % (482)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/39Mi)
% 1.60/1.82 % (495)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/6Mi)
% 1.60/1.83 % (495)Instruction limit reached!
% 1.60/1.83 % (495)------------------------------
% 1.60/1.83 % (495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.83 % (495)Termination reason: Unknown
% 1.60/1.83 % (495)Termination phase: Saturation
% 1.60/1.83
% 1.60/1.83 % (495)Memory used [KB]: 9978
% 1.60/1.83 % (495)Time elapsed: 0.005 s
% 1.60/1.83 % (495)Instructions burned: 7 (million)
% 1.60/1.83 % (495)------------------------------
% 1.60/1.83 % (495)------------------------------
% 1.60/1.84 % (447)Instruction limit reached!
% 1.60/1.84 % (447)------------------------------
% 1.60/1.84 % (447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.84 % (447)Termination reason: Unknown
% 1.60/1.84 % (447)Termination phase: Saturation
% 1.60/1.84
% 1.60/1.84 % (447)Memory used [KB]: 7675
% 1.60/1.84 % (447)Time elapsed: 0.503 s
% 1.60/1.84 % (447)Instructions burned: 1042 (million)
% 1.60/1.84 % (447)------------------------------
% 1.60/1.84 % (447)------------------------------
% 1.60/1.84 % (482)Instruction limit reached!
% 1.60/1.84 % (482)------------------------------
% 1.60/1.84 % (482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.84 % (482)Termination reason: Unknown
% 1.60/1.84 % (482)Termination phase: Saturation
% 1.60/1.84
% 1.60/1.84 % (482)Memory used [KB]: 5756
% 1.60/1.84 % (482)Time elapsed: 0.021 s
% 1.60/1.84 % (482)Instructions burned: 40 (million)
% 1.60/1.84 % (482)------------------------------
% 1.60/1.84 % (482)------------------------------
% 1.60/1.84 % (496)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/1087Mi)
% 1.60/1.86 % (497)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/47Mi)
% 1.60/1.86 % (498)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/44Mi)
% 1.60/1.88 % (498)Instruction limit reached!
% 1.60/1.88 % (498)------------------------------
% 1.60/1.88 % (498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.88 % (498)Termination reason: Unknown
% 1.60/1.88 % (498)Termination phase: Saturation
% 1.60/1.88
% 1.60/1.88 % (498)Memory used [KB]: 1151
% 1.60/1.88 % (498)Time elapsed: 0.021 s
% 1.60/1.88 % (498)Instructions burned: 44 (million)
% 1.60/1.88 % (498)------------------------------
% 1.60/1.88 % (498)------------------------------
% 1.60/1.88 % (497)Instruction limit reached!
% 1.60/1.88 % (497)------------------------------
% 1.60/1.88 % (497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.88 % (497)Termination reason: Unknown
% 1.60/1.88 % (497)Termination phase: Saturation
% 1.60/1.88
% 1.60/1.88 % (497)Memory used [KB]: 5884
% 1.60/1.88 % (497)Time elapsed: 0.025 s
% 1.60/1.88 % (497)Instructions burned: 48 (million)
% 1.60/1.88 % (497)------------------------------
% 1.60/1.88 % (497)------------------------------
% 1.60/1.88 % (465)Instruction limit reached!
% 1.60/1.88 % (465)------------------------------
% 1.60/1.88 % (465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.88 % (465)Termination reason: Unknown
% 1.60/1.88 % (465)Termination phase: Saturation
% 1.60/1.88
% 1.60/1.88 % (465)Memory used [KB]: 8059
% 1.60/1.88 % (465)Time elapsed: 0.428 s
% 1.60/1.88 % (465)Instructions burned: 880 (million)
% 1.60/1.88 % (465)------------------------------
% 1.60/1.88 % (465)------------------------------
% 1.60/1.89 % (481)Instruction limit reached!
% 1.60/1.89 % (481)------------------------------
% 1.60/1.89 % (481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.89 % (481)Termination reason: Unknown
% 1.60/1.89 % (481)Termination phase: Saturation
% 1.60/1.89
% 1.60/1.89 % (481)Memory used [KB]: 6012
% 1.60/1.89 % (481)Time elapsed: 0.073 s
% 1.60/1.89 % (481)Instructions burned: 149 (million)
% 1.60/1.89 % (481)------------------------------
% 1.60/1.89 % (481)------------------------------
% 1.60/1.89 % (499)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/432Mi)
% 1.60/1.90 % (503)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/62Mi)
% 1.60/1.90 % (504)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/31Mi)
% 1.60/1.91 % (505)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_334 for (2994ds/96Mi)
% 1.60/1.91 % (504)Instruction limit reached!
% 1.60/1.91 % (504)------------------------------
% 1.60/1.91 % (504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.91 % (504)Termination reason: Unknown
% 1.60/1.91 % (504)Termination phase: Saturation
% 1.60/1.91
% 1.60/1.91 % (504)Memory used [KB]: 5884
% 1.60/1.91 % (504)Time elapsed: 0.017 s
% 1.60/1.91 % (504)Instructions burned: 32 (million)
% 1.60/1.91 % (504)------------------------------
% 1.60/1.91 % (504)------------------------------
% 1.60/1.92 % (503)Instruction limit reached!
% 1.60/1.92 % (503)------------------------------
% 1.60/1.92 % (503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.92 % (503)Termination reason: Unknown
% 1.60/1.92 % (503)Termination phase: Saturation
% 1.60/1.92
% 1.60/1.92 % (503)Memory used [KB]: 5756
% 1.60/1.92 % (503)Time elapsed: 0.029 s
% 1.60/1.92 % (503)Instructions burned: 62 (million)
% 1.60/1.92 % (503)------------------------------
% 1.60/1.92 % (503)------------------------------
% 1.60/1.93 % (506)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/453Mi)
% 1.60/1.94 % (507)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/71Mi)
% 1.60/1.95 % (505)Instruction limit reached!
% 1.60/1.95 % (505)------------------------------
% 1.60/1.95 % (505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.95 % (505)Termination reason: Unknown
% 1.60/1.95 % (505)Termination phase: Saturation
% 1.60/1.95
% 1.60/1.95 % (505)Memory used [KB]: 6012
% 1.60/1.95 % (505)Time elapsed: 0.050 s
% 1.60/1.95 % (505)Instructions burned: 97 (million)
% 1.60/1.95 % (505)------------------------------
% 1.60/1.95 % (505)------------------------------
% 1.60/1.95 % (476)Instruction limit reached!
% 1.60/1.95 % (476)------------------------------
% 1.60/1.95 % (476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.95 % (476)Termination reason: Unknown
% 1.60/1.95 % (476)Termination phase: Saturation
% 1.60/1.95
% 1.60/1.95 % (476)Memory used [KB]: 6908
% 1.60/1.95 % (476)Time elapsed: 0.221 s
% 1.60/1.95 % (476)Instructions burned: 448 (million)
% 1.60/1.95 % (476)------------------------------
% 1.60/1.95 % (476)------------------------------
% 1.60/1.97 % (508)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/83Mi)
% 1.60/1.97 % (509)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/11Mi)
% 1.60/1.97 % (507)Instruction limit reached!
% 1.60/1.97 % (507)------------------------------
% 1.60/1.97 % (507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.97 % (507)Termination reason: Unknown
% 1.60/1.97 % (507)Termination phase: Saturation
% 1.60/1.97
% 1.60/1.97 % (507)Memory used [KB]: 6140
% 1.60/1.97 % (507)Time elapsed: 0.037 s
% 1.60/1.97 % (507)Instructions burned: 72 (million)
% 1.60/1.97 % (507)------------------------------
% 1.60/1.97 % (507)------------------------------
% 1.60/1.98 % (509)Instruction limit reached!
% 1.60/1.98 % (509)------------------------------
% 1.60/1.98 % (509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.98 % (509)Termination reason: Unknown
% 1.60/1.98 % (509)Termination phase: Saturation
% 1.60/1.98
% 1.60/1.98 % (509)Memory used [KB]: 5500
% 1.60/1.98 % (509)Time elapsed: 0.007 s
% 1.60/1.98 % (509)Instructions burned: 13 (million)
% 1.60/1.98 % (509)------------------------------
% 1.60/1.98 % (509)------------------------------
% 1.60/1.99 % (510)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/41Mi)
% 1.60/1.99 % (511)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/6Mi)
% 1.60/1.99 % (511)Instruction limit reached!
% 1.60/1.99 % (511)------------------------------
% 1.60/1.99 % (511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.99 % (511)Termination reason: Unknown
% 1.60/1.99 % (511)Termination phase: Property scanning
% 1.60/1.99
% 1.60/1.99 % (511)Memory used [KB]: 1151
% 1.60/1.99 % (511)Time elapsed: 0.004 s
% 1.60/1.99 % (511)Instructions burned: 6 (million)
% 1.60/1.99 % (511)------------------------------
% 1.60/1.99 % (511)------------------------------
% 1.60/2.01 % (510)Refutation not found, incomplete strategy
% 1.60/2.01 % (510)------------------------------
% 1.60/2.01 % (510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/2.01 % (510)Termination reason: Refutation not found, incomplete strategy
% 1.60/2.01
% 1.60/2.01
% 1.60/2.01 % (510)Memory used [KB]: 5628
% 1.60/2.01 % (510)Time elapsed: 0.015 s
% 1.60/2.01 % (510)Instructions burned: 28 (million)
% 1.60/2.01 % (510)------------------------------
% 1.60/2.01 % (510)------------------------------
% 1.60/2.01 % (508)Instruction limit reached!
% 1.60/2.01 % (508)------------------------------
% 1.60/2.01 % (508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/2.01 % (512)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_334 for (2993ds/150Mi)
% 1.60/2.01 % (508)Termination reason: Unknown
% 1.60/2.01 % (508)Termination phase: Saturation
% 1.60/2.01
% 1.60/2.01 % (508)Memory used [KB]: 6012
% 1.60/2.01 % (508)Time elapsed: 0.042 s
% 1.60/2.01 % (508)Instructions burned: 83 (million)
% 1.60/2.01 % (508)------------------------------
% 1.60/2.01 % (508)------------------------------
% 1.60/2.02 % (513)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/343Mi)
% 6.50/2.03 % (479)Instruction limit reached!
% 6.50/2.03 % (479)------------------------------
% 6.50/2.03 % (479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.03 % (479)Termination reason: Unknown
% 6.50/2.03 % (479)Termination phase: Saturation
% 6.50/2.03
% 6.50/2.03 % (479)Memory used [KB]: 7291
% 6.50/2.03 % (479)Time elapsed: 0.245 s
% 6.50/2.03 % (479)Instructions burned: 507 (million)
% 6.50/2.03 % (479)------------------------------
% 6.50/2.03 % (479)------------------------------
% 6.50/2.03 % (514)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/109Mi)
% 6.50/2.04 % (515)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/253Mi)
% 6.50/2.08 % (514)Instruction limit reached!
% 6.50/2.08 % (514)------------------------------
% 6.50/2.08 % (514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.08 % (514)Termination reason: Unknown
% 6.50/2.08 % (514)Termination phase: Saturation
% 6.50/2.08
% 6.50/2.08 % (514)Memory used [KB]: 6524
% 6.50/2.08 % (514)Time elapsed: 0.055 s
% 6.50/2.08 % (514)Instructions burned: 109 (million)
% 6.50/2.08 % (514)------------------------------
% 6.50/2.08 % (514)------------------------------
% 6.50/2.08 % (512)Instruction limit reached!
% 6.50/2.08 % (512)------------------------------
% 6.50/2.08 % (512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.08 % (512)Termination reason: Unknown
% 6.50/2.08 % (512)Termination phase: Saturation
% 6.50/2.08
% 6.50/2.08 % (512)Memory used [KB]: 6396
% 6.50/2.08 % (512)Time elapsed: 0.074 s
% 6.50/2.08 % (512)Instructions burned: 150 (million)
% 6.50/2.08 % (512)------------------------------
% 6.50/2.08 % (512)------------------------------
% 6.50/2.09 % (499)Instruction limit reached!
% 6.50/2.09 % (499)------------------------------
% 6.50/2.09 % (499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.50/2.09 % (499)Termination reason: Unknown
% 6.50/2.09 % (499)Termination phase: Saturation
% 6.50/2.09
% 6.50/2.09 % (499)Memory used [KB]: 3326
% 6.50/2.09 % (499)Time elapsed: 0.199 s
% 6.50/2.09 % (499)Instructions burned: 432 (million)
% 6.50/2.09 % (499)------------------------------
% 6.50/2.09 % (499)------------------------------
% 6.50/2.10 % (516)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/140Mi)
% 6.50/2.10 % (517)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/614Mi)
% 6.50/2.11 % (518)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_334 for (2992ds/202Mi)
% 7.05/2.15 % (506)Instruction limit reached!
% 7.05/2.15 % (506)------------------------------
% 7.05/2.15 % (506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.15 % (506)Termination reason: Unknown
% 7.05/2.15 % (506)Termination phase: Saturation
% 7.05/2.15
% 7.05/2.15 % (506)Memory used [KB]: 6652
% 7.05/2.15 % (506)Time elapsed: 0.222 s
% 7.05/2.15 % (506)Instructions burned: 453 (million)
% 7.05/2.15 % (506)------------------------------
% 7.05/2.15 % (506)------------------------------
% 7.05/2.16 % (515)Instruction limit reached!
% 7.05/2.16 % (515)------------------------------
% 7.05/2.16 % (515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.16 % (515)Termination reason: Unknown
% 7.05/2.16 % (515)Termination phase: Saturation
% 7.05/2.16
% 7.05/2.16 % (515)Memory used [KB]: 6524
% 7.05/2.16 % (515)Time elapsed: 0.122 s
% 7.05/2.16 % (515)Instructions burned: 254 (million)
% 7.05/2.16 % (515)------------------------------
% 7.05/2.16 % (515)------------------------------
% 7.05/2.17 % (516)Instruction limit reached!
% 7.05/2.17 % (516)------------------------------
% 7.05/2.17 % (516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.17 % (516)Termination reason: Unknown
% 7.05/2.17 % (516)Termination phase: Saturation
% 7.05/2.17
% 7.05/2.17 % (516)Memory used [KB]: 6140
% 7.05/2.17 % (516)Time elapsed: 0.072 s
% 7.05/2.17 % (516)Instructions burned: 140 (million)
% 7.05/2.17 % (516)------------------------------
% 7.05/2.17 % (516)------------------------------
% 7.05/2.17 % (520)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_334 for (2991ds/339Mi)
% 7.05/2.18 % (521)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_334 for (2991ds/283Mi)
% 7.05/2.18 % (522)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_334 for (2991ds/134Mi)
% 7.05/2.19 % (513)Instruction limit reached!
% 7.05/2.19 % (513)------------------------------
% 7.05/2.19 % (513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.05/2.19 % (513)Termination reason: Unknown
% 7.05/2.19 % (513)Termination phase: Saturation
% 7.05/2.19
% 7.05/2.19 % (513)Memory used [KB]: 7036
% 7.05/2.19 % (513)Time elapsed: 0.170 s
% 7.05/2.19 % (513)Instructions burned: 343 (million)
% 7.05/2.19 % (513)------------------------------
% 7.05/2.19 % (513)------------------------------
% 7.56/2.20 % (518)Instruction limit reached!
% 7.56/2.20 % (518)------------------------------
% 7.56/2.20 % (518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.20 % (518)Termination reason: Unknown
% 7.56/2.20 % (518)Termination phase: Saturation
% 7.56/2.20
% 7.56/2.20 % (518)Memory used [KB]: 6780
% 7.56/2.20 % (518)Time elapsed: 0.098 s
% 7.56/2.20 % (518)Instructions burned: 203 (million)
% 7.56/2.20 % (518)------------------------------
% 7.56/2.20 % (518)------------------------------
% 7.56/2.21 % (523)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_334 for (2991ds/298Mi)
% 7.56/2.22 % (524)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_334 for (2991ds/192Mi)
% 7.56/2.25 % (522)Instruction limit reached!
% 7.56/2.25 % (522)------------------------------
% 7.56/2.25 % (522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.56/2.25 % (522)Termination reason: Unknown
% 7.56/2.25 % (522)Termination phase: Saturation
% 7.56/2.25
% 7.56/2.25 % (522)Memory used [KB]: 6396
% 7.56/2.25 % (522)Time elapsed: 0.067 s
% 7.56/2.25 % (522)Instructions burned: 135 (million)
% 7.56/2.25 % (522)------------------------------
% 7.56/2.25 % (522)------------------------------
% 7.56/2.26 % (525)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_334 for (2990ds/258Mi)
% 7.86/2.31 % (521)Instruction limit reached!
% 7.86/2.31 % (521)------------------------------
% 7.86/2.31 % (521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.31 % (521)Termination reason: Unknown
% 7.86/2.31 % (521)Termination phase: Saturation
% 7.86/2.31
% 7.86/2.31 % (521)Memory used [KB]: 7803
% 7.86/2.31 % (521)Time elapsed: 0.128 s
% 7.86/2.31 % (521)Instructions burned: 285 (million)
% 7.86/2.31 % (521)------------------------------
% 7.86/2.31 % (521)------------------------------
% 7.86/2.31 % (524)Instruction limit reached!
% 7.86/2.31 % (524)------------------------------
% 7.86/2.31 % (524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.31 % (524)Termination reason: Unknown
% 7.86/2.31 % (524)Termination phase: Saturation
% 7.86/2.31
% 7.86/2.31 % (524)Memory used [KB]: 6780
% 7.86/2.31 % (524)Time elapsed: 0.090 s
% 7.86/2.31 % (524)Instructions burned: 192 (million)
% 7.86/2.31 % (524)------------------------------
% 7.86/2.31 % (524)------------------------------
% 7.86/2.32 % (526)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_334 for (2990ds/90Mi)
% 7.86/2.33 % (527)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_334 for (2990ds/231Mi)
% 7.86/2.33 % (520)Instruction limit reached!
% 7.86/2.33 % (520)------------------------------
% 7.86/2.33 % (520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.33 % (520)Termination reason: Unknown
% 7.86/2.33 % (520)Termination phase: Saturation
% 7.86/2.33
% 7.86/2.33 % (520)Memory used [KB]: 6652
% 7.86/2.33 % (520)Time elapsed: 0.165 s
% 7.86/2.33 % (520)Instructions burned: 341 (million)
% 7.86/2.33 % (520)------------------------------
% 7.86/2.33 % (520)------------------------------
% 7.86/2.35 % (528)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/458Mi)
% 7.86/2.35 % (523)Instruction limit reached!
% 7.86/2.35 % (523)------------------------------
% 7.86/2.35 % (523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.35 % (523)Termination reason: Unknown
% 7.86/2.35 % (523)Termination phase: Saturation
% 7.86/2.35
% 7.86/2.35 % (523)Memory used [KB]: 6524
% 7.86/2.35 % (523)Time elapsed: 0.148 s
% 7.86/2.35 % (523)Instructions burned: 298 (million)
% 7.86/2.35 % (523)------------------------------
% 7.86/2.35 % (523)------------------------------
% 7.86/2.37 % (529)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/31Mi)
% 7.86/2.37 % (526)Instruction limit reached!
% 7.86/2.37 % (526)------------------------------
% 7.86/2.37 % (526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.37 % (526)Termination reason: Unknown
% 7.86/2.37 % (526)Termination phase: Saturation
% 7.86/2.37
% 7.86/2.37 % (526)Memory used [KB]: 6140
% 7.86/2.37 % (526)Time elapsed: 0.063 s
% 7.86/2.37 % (526)Instructions burned: 92 (million)
% 7.86/2.37 % (526)------------------------------
% 7.86/2.37 % (526)------------------------------
% 7.86/2.37 % (496)Instruction limit reached!
% 7.86/2.37 % (496)------------------------------
% 7.86/2.37 % (496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.37 % (496)Termination reason: Unknown
% 7.86/2.37 % (496)Termination phase: Saturation
% 7.86/2.37
% 7.86/2.37 % (496)Memory used [KB]: 7547
% 7.86/2.37 % (496)Time elapsed: 0.532 s
% 7.86/2.37 % (496)Instructions burned: 1088 (million)
% 7.86/2.37 % (496)------------------------------
% 7.86/2.37 % (496)------------------------------
% 7.86/2.38 % (529)Instruction limit reached!
% 7.86/2.38 % (529)------------------------------
% 7.86/2.38 % (529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.38 % (529)Termination reason: Unknown
% 7.86/2.38 % (529)Termination phase: Saturation
% 7.86/2.38
% 7.86/2.38 % (529)Memory used [KB]: 5884
% 7.86/2.38 % (529)Time elapsed: 0.017 s
% 7.86/2.38 % (529)Instructions burned: 32 (million)
% 7.86/2.38 % (529)------------------------------
% 7.86/2.38 % (529)------------------------------
% 7.86/2.39 % (525)Instruction limit reached!
% 7.86/2.39 % (525)------------------------------
% 7.86/2.39 % (525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.86/2.39 % (525)Termination reason: Unknown
% 7.86/2.39 % (525)Termination phase: Saturation
% 7.86/2.39
% 7.86/2.39 % (525)Memory used [KB]: 6140
% 7.86/2.39 % (525)Time elapsed: 0.125 s
% 7.86/2.39 % (525)Instructions burned: 258 (million)
% 7.86/2.39 % (525)------------------------------
% 7.86/2.39 % (525)------------------------------
% 7.86/2.39 % (530)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/297Mi)
% 8.74/2.40 % (532)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/182Mi)
% 8.74/2.40 % (517)Instruction limit reached!
% 8.74/2.40 % (517)------------------------------
% 8.74/2.40 % (517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.74/2.40 % (517)Termination reason: Unknown
% 8.74/2.40 % (517)Termination phase: Saturation
% 8.74/2.40
% 8.74/2.40 % (517)Memory used [KB]: 7291
% 8.74/2.40 % (517)Time elapsed: 0.305 s
% 8.74/2.40 % (517)Instructions burned: 615 (million)
% 8.74/2.40 % (517)------------------------------
% 8.74/2.40 % (517)------------------------------
% 8.74/2.40 % (533)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/182Mi)
% 8.74/2.41 % (531)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/987Mi)
% 8.74/2.42 % (534)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_334 for (2989ds/154Mi)
% 8.74/2.43 % (527)Instruction limit reached!
% 8.74/2.43 % (527)------------------------------
% 8.74/2.43 % (527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.74/2.43 % (527)Termination reason: Unknown
% 8.74/2.43 % (527)Termination phase: Saturation
% 8.74/2.43
% 8.74/2.43 % (527)Memory used [KB]: 6268
% 8.74/2.43 % (527)Time elapsed: 0.128 s
% 8.74/2.43 % (527)Instructions burned: 232 (million)
% 8.74/2.43 % (527)------------------------------
% 8.74/2.43 % (527)------------------------------
% 8.74/2.46 % (535)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_334 for (2988ds/79Mi)
% 8.74/2.49 % (532)Instruction limit reached!
% 8.74/2.49 % (532)------------------------------
% 8.74/2.49 % (532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.74/2.49 % (532)Termination reason: Unknown
% 8.74/2.49 % (532)Termination phase: Saturation
% 8.74/2.49
% 8.74/2.49 % (532)Memory used [KB]: 5884
% 8.74/2.49 % (532)Time elapsed: 0.088 s
% 8.74/2.49 % (532)Instructions burned: 183 (million)
% 8.74/2.49 % (532)------------------------------
% 8.74/2.49 % (532)------------------------------
% 8.74/2.49 % (534)Instruction limit reached!
% 8.74/2.49 % (534)------------------------------
% 8.74/2.49 % (534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.74/2.49 % (534)Termination reason: Unknown
% 8.74/2.49 % (534)Termination phase: Saturation
% 8.74/2.49
% 8.74/2.49 % (534)Memory used [KB]: 6268
% 8.74/2.49 % (534)Time elapsed: 0.097 s
% 8.74/2.49 % (534)Instructions burned: 154 (million)
% 8.74/2.49 % (534)------------------------------
% 8.74/2.49 % (534)------------------------------
% 8.74/2.49 % (533)Instruction limit reached!
% 8.74/2.49 % (533)------------------------------
% 8.74/2.49 % (533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.74/2.49 % (533)Termination reason: Unknown
% 8.74/2.49 % (533)Termination phase: Saturation
% 8.74/2.49
% 8.74/2.49 % (533)Memory used [KB]: 6268
% 8.74/2.49 % (533)Time elapsed: 0.112 s
% 8.74/2.49 % (533)Instructions burned: 183 (million)
% 8.74/2.49 % (533)------------------------------
% 8.74/2.49 % (533)------------------------------
% 9.44/2.50 % (535)Instruction limit reached!
% 9.44/2.50 % (535)------------------------------
% 9.44/2.50 % (535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.50 % (535)Termination reason: Unknown
% 9.44/2.50 % (535)Termination phase: Saturation
% 9.44/2.50
% 9.44/2.50 % (535)Memory used [KB]: 6140
% 9.44/2.50 % (535)Time elapsed: 0.078 s
% 9.44/2.50 % (535)Instructions burned: 79 (million)
% 9.44/2.50 % (535)------------------------------
% 9.44/2.50 % (535)------------------------------
% 9.44/2.51 % (537)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_334 for (2988ds/114Mi)
% 9.44/2.51 % (538)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_334 for (2987ds/922Mi)
% 9.44/2.51 % (536)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_334 for (2988ds/216Mi)
% 9.44/2.52 % (530)Instruction limit reached!
% 9.44/2.52 % (530)------------------------------
% 9.44/2.52 % (530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.52 % (530)Termination reason: Unknown
% 9.44/2.52 % (530)Termination phase: Saturation
% 9.44/2.52
% 9.44/2.52 % (530)Memory used [KB]: 5884
% 9.44/2.52 % (530)Time elapsed: 0.153 s
% 9.44/2.52 % (530)Instructions burned: 297 (million)
% 9.44/2.52 % (530)------------------------------
% 9.44/2.52 % (530)------------------------------
% 9.44/2.52 % (539)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_334 for (2987ds/182Mi)
% 9.44/2.53 % (540)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_334 for (2987ds/164Mi)
% 9.44/2.56 % (537)Instruction limit reached!
% 9.44/2.56 % (537)------------------------------
% 9.44/2.56 % (537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.56 % (537)Termination reason: Unknown
% 9.44/2.56 % (537)Termination phase: Saturation
% 9.44/2.56
% 9.44/2.56 % (537)Memory used [KB]: 6140
% 9.44/2.56 % (537)Time elapsed: 0.056 s
% 9.44/2.56 % (537)Instructions burned: 115 (million)
% 9.44/2.56 % (537)------------------------------
% 9.44/2.56 % (537)------------------------------
% 9.44/2.57 % (528)Instruction limit reached!
% 9.44/2.57 % (528)------------------------------
% 9.44/2.57 % (528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.44/2.57 % (528)Termination reason: Unknown
% 9.44/2.57 % (528)Termination phase: Saturation
% 9.44/2.57
% 9.44/2.57 % (528)Memory used [KB]: 6908
% 9.44/2.57 % (528)Time elapsed: 0.224 s
% 9.44/2.57 % (528)Instructions burned: 458 (million)
% 9.44/2.57 % (528)------------------------------
% 9.44/2.57 % (528)------------------------------
% 9.44/2.58 % (541)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_334 for (2987ds/50Mi)
% 9.44/2.59 % (542)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_334 for (2987ds/368Mi)
% 9.95/2.60 % (541)Instruction limit reached!
% 9.95/2.60 % (541)------------------------------
% 9.95/2.60 % (541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.60 % (541)Termination reason: Unknown
% 9.95/2.60 % (541)Termination phase: Saturation
% 9.95/2.60
% 9.95/2.60 % (541)Memory used [KB]: 10234
% 9.95/2.60 % (541)Time elapsed: 0.026 s
% 9.95/2.60 % (541)Instructions burned: 51 (million)
% 9.95/2.60 % (541)------------------------------
% 9.95/2.60 % (541)------------------------------
% 9.95/2.61 % (539)Instruction limit reached!
% 9.95/2.61 % (539)------------------------------
% 9.95/2.61 % (539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.61 % (539)Termination reason: Unknown
% 9.95/2.61 % (539)Termination phase: Saturation
% 9.95/2.61
% 9.95/2.61 % (539)Memory used [KB]: 5756
% 9.95/2.61 % (539)Time elapsed: 0.089 s
% 9.95/2.61 % (539)Instructions burned: 183 (million)
% 9.95/2.61 % (539)------------------------------
% 9.95/2.61 % (539)------------------------------
% 9.95/2.61 % (536)Instruction limit reached!
% 9.95/2.61 % (536)------------------------------
% 9.95/2.61 % (536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.61 % (536)Termination reason: Unknown
% 9.95/2.61 % (536)Termination phase: Saturation
% 9.95/2.61
% 9.95/2.61 % (536)Memory used [KB]: 5756
% 9.95/2.61 % (536)Time elapsed: 0.130 s
% 9.95/2.61 % (536)Instructions burned: 217 (million)
% 9.95/2.61 % (536)------------------------------
% 9.95/2.61 % (536)------------------------------
% 9.95/2.61 % (540)Instruction limit reached!
% 9.95/2.61 % (540)------------------------------
% 9.95/2.61 % (540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.61 % (540)Termination reason: Unknown
% 9.95/2.61 % (540)Termination phase: Saturation
% 9.95/2.61
% 9.95/2.61 % (540)Memory used [KB]: 1663
% 9.95/2.61 % (540)Time elapsed: 0.082 s
% 9.95/2.61 % (540)Instructions burned: 164 (million)
% 9.95/2.61 % (540)------------------------------
% 9.95/2.61 % (540)------------------------------
% 9.95/2.62 % (543)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/1021Mi)
% 9.95/2.62 % (544)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/267Mi)
% 9.95/2.63 % (545)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/204Mi)
% 9.95/2.63 % (546)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/26Mi)
% 9.95/2.64 % (546)Instruction limit reached!
% 9.95/2.64 % (546)------------------------------
% 9.95/2.64 % (546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.64 % (546)Termination reason: Unknown
% 9.95/2.64 % (546)Termination phase: Saturation
% 9.95/2.64
% 9.95/2.64 % (546)Memory used [KB]: 5628
% 9.95/2.64 % (546)Time elapsed: 0.013 s
% 9.95/2.64 % (546)Instructions burned: 26 (million)
% 9.95/2.64 % (546)------------------------------
% 9.95/2.64 % (546)------------------------------
% 9.95/2.66 % (547)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/53Mi)
% 9.95/2.68 % (547)Instruction limit reached!
% 9.95/2.68 % (547)------------------------------
% 9.95/2.68 % (547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.95/2.68 % (547)Termination reason: Unknown
% 9.95/2.68 % (547)Termination phase: Saturation
% 9.95/2.68
% 9.95/2.68 % (547)Memory used [KB]: 5628
% 9.95/2.68 % (547)Time elapsed: 0.024 s
% 9.95/2.68 % (547)Instructions burned: 53 (million)
% 9.95/2.68 % (547)------------------------------
% 9.95/2.68 % (547)------------------------------
% 9.95/2.70 % (548)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_334 for (2986ds/4436Mi)
% 10.38/2.73 % (545)Instruction limit reached!
% 10.38/2.73 % (545)------------------------------
% 10.38/2.73 % (545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.38/2.73 % (545)Termination reason: Unknown
% 10.38/2.73 % (545)Termination phase: Saturation
% 10.38/2.73
% 10.38/2.73 % (545)Memory used [KB]: 6268
% 10.38/2.73 % (545)Time elapsed: 0.102 s
% 10.38/2.73 % (545)Instructions burned: 205 (million)
% 10.38/2.73 % (545)------------------------------
% 10.38/2.73 % (545)------------------------------
% 10.38/2.75 % (549)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_334 for (2985ds/1539Mi)
% 10.38/2.76 % (544)Instruction limit reached!
% 10.38/2.76 % (544)------------------------------
% 10.38/2.76 % (544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.38/2.76 % (544)Termination reason: Unknown
% 10.38/2.76 % (544)Termination phase: Saturation
% 10.38/2.76
% 10.38/2.76 % (544)Memory used [KB]: 6396
% 10.38/2.76 % (542)Instruction limit reached!
% 10.38/2.76 % (542)------------------------------
% 10.38/2.76 % (542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.38/2.76 % (544)Time elapsed: 0.137 s
% 10.38/2.76 % (544)Instructions burned: 268 (million)
% 10.38/2.76 % (544)------------------------------
% 10.38/2.76 % (544)------------------------------
% 10.38/2.76 % (542)Termination reason: Unknown
% 10.38/2.76 % (542)Termination phase: Saturation
% 10.38/2.76
% 10.38/2.76 % (542)Memory used [KB]: 7164
% 10.38/2.76 % (542)Time elapsed: 0.175 s
% 10.38/2.76 % (542)Instructions burned: 368 (million)
% 10.38/2.76 % (542)------------------------------
% 10.38/2.76 % (542)------------------------------
% 10.38/2.78 % (551)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_334 for (2985ds/5205Mi)
% 10.38/2.78 % (550)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_334 for (2985ds/408Mi)
% 10.83/2.83 % (531)Instruction limit reached!
% 10.83/2.83 % (531)------------------------------
% 10.83/2.83 % (531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.83/2.83 % (531)Termination reason: Unknown
% 10.83/2.83 % (531)Termination phase: Saturation
% 10.83/2.83
% 10.83/2.83 % (531)Memory used [KB]: 7547
% 10.83/2.83 % (531)Time elapsed: 0.461 s
% 10.83/2.83 % (531)Instructions burned: 987 (million)
% 10.83/2.83 % (531)------------------------------
% 10.83/2.83 % (531)------------------------------
% 10.83/2.85 % (552)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_334 for (2984ds/1913Mi)
% 11.27/2.95 % (538)Instruction limit reached!
% 11.27/2.95 % (538)------------------------------
% 11.27/2.95 % (538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.27/2.95 % (538)Termination reason: Unknown
% 11.27/2.95 % (538)Termination phase: Saturation
% 11.27/2.95
% 11.27/2.95 % (538)Memory used [KB]: 7547
% 11.27/2.95 % (538)Time elapsed: 0.437 s
% 11.27/2.95 % (538)Instructions burned: 923 (million)
% 11.27/2.95 % (538)------------------------------
% 11.27/2.95 % (538)------------------------------
% 11.27/2.96 % (550)Instruction limit reached!
% 11.27/2.96 % (550)------------------------------
% 11.27/2.96 % (550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.27/2.96 % (550)Termination reason: Unknown
% 11.27/2.96 % (550)Termination phase: Saturation
% 11.27/2.96
% 11.27/2.96 % (550)Memory used [KB]: 6908
% 11.27/2.96 % (550)Time elapsed: 0.188 s
% 11.27/2.96 % (550)Instructions burned: 410 (million)
% 11.27/2.96 % (550)------------------------------
% 11.27/2.96 % (550)------------------------------
% 11.27/2.96 % (554)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_334 for (2983ds/4350Mi)
% 11.27/2.98 % (555)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_334 for (2983ds/68Mi)
% 11.27/3.01 % (555)Instruction limit reached!
% 11.27/3.01 % (555)------------------------------
% 11.27/3.01 % (555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.27/3.01 % (555)Termination reason: Unknown
% 11.27/3.01 % (555)Termination phase: Saturation
% 11.27/3.01
% 11.27/3.01 % (555)Memory used [KB]: 6140
% 11.27/3.01 % (555)Time elapsed: 0.035 s
% 11.27/3.01 % (555)Instructions burned: 69 (million)
% 11.27/3.01 % (555)------------------------------
% 11.27/3.01 % (555)------------------------------
% 13.43/3.03 % (557)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_334 for (2982ds/358Mi)
% 13.43/3.10 % (543)Instruction limit reached!
% 13.43/3.10 % (543)------------------------------
% 13.43/3.10 % (543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.43/3.10 % (543)Termination reason: Unknown
% 13.43/3.10 % (543)Termination phase: Saturation
% 13.43/3.10
% 13.43/3.10 % (543)Memory used [KB]: 7419
% 13.43/3.10 % (543)Time elapsed: 0.480 s
% 13.43/3.10 % (543)Instructions burned: 1021 (million)
% 13.43/3.10 % (543)------------------------------
% 13.43/3.10 % (543)------------------------------
% 13.43/3.11 % (558)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_334 for (2982ds/31Mi)
% 14.12/3.13 % (558)Instruction limit reached!
% 14.12/3.13 % (558)------------------------------
% 14.12/3.13 % (558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.12/3.13 % (558)Termination reason: Unknown
% 14.12/3.13 % (558)Termination phase: Saturation
% 14.12/3.13
% 14.12/3.13 % (558)Memory used [KB]: 5756
% 14.12/3.13 % (558)Time elapsed: 0.017 s
% 14.12/3.13 % (558)Instructions burned: 32 (million)
% 14.12/3.13 % (558)------------------------------
% 14.12/3.13 % (558)------------------------------
% 14.12/3.15 % (559)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_334 for (2981ds/279Mi)
% 14.50/3.20 % (557)Instruction limit reached!
% 14.50/3.20 % (557)------------------------------
% 14.50/3.20 % (557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.20 % (557)Termination reason: Unknown
% 14.50/3.20 % (557)Termination phase: Saturation
% 14.50/3.20
% 14.50/3.20 % (557)Memory used [KB]: 6524
% 14.50/3.20 % (557)Time elapsed: 0.177 s
% 14.50/3.20 % (557)Instructions burned: 359 (million)
% 14.50/3.20 % (557)------------------------------
% 14.50/3.20 % (557)------------------------------
% 14.50/3.22 % (560)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_334 for (2980ds/258Mi)
% 14.50/3.28 % (559)Instruction limit reached!
% 14.50/3.28 % (559)------------------------------
% 14.50/3.28 % (559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.50/3.28 % (559)Termination reason: Unknown
% 14.50/3.28 % (559)Termination phase: Saturation
% 14.50/3.28
% 14.50/3.28 % (559)Memory used [KB]: 5756
% 14.50/3.28 % (559)Time elapsed: 0.134 s
% 14.50/3.28 % (559)Instructions burned: 281 (million)
% 14.50/3.28 % (559)------------------------------
% 14.50/3.28 % (559)------------------------------
% 14.50/3.29 % (561)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_334 for (2980ds/26Mi)
% 15.33/3.31 % (561)Instruction limit reached!
% 15.33/3.31 % (561)------------------------------
% 15.33/3.31 % (561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/3.31 % (561)Termination reason: Unknown
% 15.33/3.31 % (561)Termination phase: Saturation
% 15.33/3.31
% 15.33/3.31 % (561)Memory used [KB]: 5628
% 15.33/3.31 % (561)Time elapsed: 0.014 s
% 15.33/3.31 % (561)Instructions burned: 27 (million)
% 15.33/3.31 % (561)------------------------------
% 15.33/3.31 % (561)------------------------------
% 15.33/3.32 % (562)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_334 for (2979ds/995Mi)
% 15.33/3.35 % (560)Instruction limit reached!
% 15.33/3.35 % (560)------------------------------
% 15.33/3.35 % (560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/3.35 % (560)Termination reason: Unknown
% 15.33/3.35 % (560)Termination phase: Saturation
% 15.33/3.35
% 15.33/3.35 % (560)Memory used [KB]: 6396
% 15.33/3.35 % (560)Time elapsed: 0.130 s
% 15.33/3.35 % (560)Instructions burned: 259 (million)
% 15.33/3.35 % (560)------------------------------
% 15.33/3.35 % (560)------------------------------
% 15.33/3.36 % (563)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_334 for (2979ds/373Mi)
% 16.00/3.49 % (549)Instruction limit reached!
% 16.00/3.49 % (549)------------------------------
% 16.00/3.49 % (549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.00/3.49 % (549)Termination reason: Unknown
% 16.00/3.49 % (549)Termination phase: Saturation
% 16.00/3.49
% 16.00/3.49 % (549)Memory used [KB]: 7803
% 16.00/3.49 % (549)Time elapsed: 0.745 s
% 16.00/3.49 % (549)Instructions burned: 1539 (million)
% 16.00/3.49 % (549)------------------------------
% 16.00/3.49 % (549)------------------------------
% 16.48/3.51 % (564)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_334 for (2978ds/253Mi)
% 16.48/3.54 % (563)Instruction limit reached!
% 16.48/3.54 % (563)------------------------------
% 16.48/3.54 % (563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.48/3.54 % (563)Termination reason: Unknown
% 16.48/3.54 % (563)Termination phase: Saturation
% 16.48/3.54
% 16.48/3.54 % (563)Memory used [KB]: 7036
% 16.48/3.54 % (563)Time elapsed: 0.182 s
% 16.48/3.54 % (563)Instructions burned: 373 (million)
% 16.48/3.54 % (563)------------------------------
% 16.48/3.54 % (563)------------------------------
% 16.48/3.56 % (565)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_334 for (2977ds/832Mi)
% 17.07/3.63 % (564)Instruction limit reached!
% 17.07/3.63 % (564)------------------------------
% 17.07/3.63 % (564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.07/3.63 % (564)Termination reason: Unknown
% 17.07/3.63 % (564)Termination phase: Saturation
% 17.07/3.63
% 17.07/3.63 % (564)Memory used [KB]: 6268
% 17.07/3.63 % (564)Time elapsed: 0.127 s
% 17.07/3.63 % (564)Instructions burned: 253 (million)
% 17.07/3.63 % (564)------------------------------
% 17.07/3.63 % (564)------------------------------
% 17.07/3.65 % (566)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_334 for (2976ds/668Mi)
% 17.61/3.74 % (552)Instruction limit reached!
% 17.61/3.74 % (552)------------------------------
% 17.61/3.74 % (552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.61/3.74 % (552)Termination reason: Unknown
% 17.61/3.74 % (552)Termination phase: Saturation
% 17.61/3.74
% 17.61/3.74 % (552)Memory used [KB]: 3582
% 17.61/3.74 % (552)Time elapsed: 0.894 s
% 17.61/3.74 % (552)Instructions burned: 1913 (million)
% 17.61/3.74 % (552)------------------------------
% 17.61/3.74 % (552)------------------------------
% 17.61/3.76 % (567)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_334 for (2975ds/40Mi)
% 17.61/3.78 % (567)Instruction limit reached!
% 17.61/3.78 % (567)------------------------------
% 17.61/3.78 % (567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.61/3.78 % (567)Termination reason: Unknown
% 17.61/3.78 % (567)Termination phase: Saturation
% 17.61/3.78
% 17.61/3.78 % (567)Memory used [KB]: 5628
% 17.61/3.78 % (567)Time elapsed: 0.020 s
% 17.61/3.78 % (567)Instructions burned: 40 (million)
% 17.61/3.78 % (567)------------------------------
% 17.61/3.78 % (567)------------------------------
% 17.61/3.79 % (568)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_334 for (2975ds/294Mi)
% 18.02/3.80 % (562)Instruction limit reached!
% 18.02/3.80 % (562)------------------------------
% 18.02/3.80 % (562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.02/3.80 % (562)Termination reason: Unknown
% 18.02/3.80 % (562)Termination phase: Saturation
% 18.02/3.80
% 18.02/3.80 % (562)Memory used [KB]: 6652
% 18.02/3.80 % (562)Time elapsed: 0.481 s
% 18.02/3.80 % (562)Instructions burned: 996 (million)
% 18.02/3.80 % (562)------------------------------
% 18.02/3.80 % (562)------------------------------
% 18.02/3.82 % (569)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_334 for (2975ds/187Mi)
% 18.82/3.91 % (569)Instruction limit reached!
% 18.82/3.91 % (569)------------------------------
% 18.82/3.91 % (569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.82/3.91 % (569)Termination reason: Unknown
% 18.82/3.91 % (569)Termination phase: Saturation
% 18.82/3.91
% 18.82/3.91 % (569)Memory used [KB]: 6780
% 18.82/3.91 % (569)Time elapsed: 0.092 s
% 18.82/3.91 % (569)Instructions burned: 187 (million)
% 18.82/3.91 % (569)------------------------------
% 18.82/3.91 % (569)------------------------------
% 18.82/3.92 % (568)Instruction limit reached!
% 18.82/3.92 % (568)------------------------------
% 18.82/3.92 % (568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.82/3.92 % (568)Termination reason: Unknown
% 18.82/3.92 % (568)Termination phase: Saturation
% 18.82/3.92
% 18.82/3.92 % (568)Memory used [KB]: 5884
% 18.82/3.92 % (568)Time elapsed: 0.131 s
% 18.82/3.92 % (568)Instructions burned: 296 (million)
% 18.82/3.92 % (568)------------------------------
% 18.82/3.92 % (568)------------------------------
% 18.82/3.93 % (570)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_334 for (2973ds/371Mi)
% 18.82/3.94 % (571)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_334 for (2973ds/1827Mi)
% 18.82/3.95 % (565)Refutation not found, non-redundant clauses discarded% (565)------------------------------
% 18.82/3.95 % (565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.82/3.95 % (565)Termination reason: Refutation not found, non-redundant clauses discarded
% 18.82/3.95
% 18.82/3.95 % (565)Memory used [KB]: 7036
% 18.82/3.95 % (565)Time elapsed: 0.388 s
% 18.82/3.95 % (565)Instructions burned: 805 (million)
% 18.82/3.95 % (565)------------------------------
% 18.82/3.95 % (565)------------------------------
% 18.82/3.96 % (572)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_334 for (2973ds/70Mi)
% 18.82/3.97 % (566)Instruction limit reached!
% 18.82/3.97 % (566)------------------------------
% 18.82/3.97 % (566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.82/3.97 % (566)Termination reason: Unknown
% 18.82/3.97 % (566)Termination phase: Saturation
% 18.82/3.97
% 18.82/3.97 % (566)Memory used [KB]: 10874
% 18.82/3.97 % (566)Time elapsed: 0.328 s
% 18.82/3.97 % (566)Instructions burned: 669 (million)
% 18.82/3.97 % (566)------------------------------
% 18.82/3.97 % (566)------------------------------
% 18.82/3.99 % (573)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_334 for (2973ds/316Mi)
% 18.82/4.00 % (572)Instruction limit reached!
% 18.82/4.00 % (572)------------------------------
% 18.82/4.00 % (572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.82/4.00 % (572)Termination reason: Unknown
% 18.82/4.00 % (572)Termination phase: Saturation
% 18.82/4.00
% 18.82/4.00 % (572)Memory used [KB]: 1407
% 18.82/4.00 % (572)Time elapsed: 0.033 s
% 18.82/4.00 % (572)Instructions burned: 72 (million)
% 18.82/4.00 % (572)------------------------------
% 18.82/4.00 % (572)------------------------------
% 18.82/4.01 % (574)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_334 for (2973ds/932Mi)
% 20.43/4.11 % (570)Instruction limit reached!
% 20.43/4.11 % (570)------------------------------
% 20.43/4.11 % (570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.43/4.11 % (570)Termination reason: Unknown
% 20.43/4.11 % (570)Termination phase: Saturation
% 20.43/4.11
% 20.43/4.11 % (570)Memory used [KB]: 7164
% 20.43/4.11 % (570)Time elapsed: 0.187 s
% 20.43/4.11 % (570)Instructions burned: 371 (million)
% 20.43/4.11 % (570)------------------------------
% 20.43/4.11 % (570)------------------------------
% 21.22/4.13 % (575)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_334 for (2971ds/4714Mi)
% 21.22/4.14 % (573)Instruction limit reached!
% 21.22/4.14 % (573)------------------------------
% 21.22/4.14 % (573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.22/4.14 % (573)Termination reason: Unknown
% 21.22/4.14 % (573)Termination phase: Saturation
% 21.22/4.14
% 21.22/4.14 % (573)Memory used [KB]: 5884
% 21.22/4.14 % (573)Time elapsed: 0.152 s
% 21.22/4.14 % (573)Instructions burned: 316 (million)
% 21.22/4.14 % (573)------------------------------
% 21.22/4.14 % (573)------------------------------
% 21.22/4.16 % (576)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_334 for (2971ds/8250Mi)
% 22.60/4.45 % (574)Instruction limit reached!
% 22.60/4.45 % (574)------------------------------
% 22.60/4.45 % (574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.60/4.45 % (574)Termination reason: Unknown
% 22.60/4.45 % (574)Termination phase: Saturation
% 22.60/4.45
% 22.60/4.45 % (574)Memory used [KB]: 8315
% 22.60/4.45 % (574)Time elapsed: 0.462 s
% 22.60/4.45 % (574)Instructions burned: 934 (million)
% 22.60/4.45 % (574)------------------------------
% 22.60/4.45 % (574)------------------------------
% 22.60/4.47 % (594)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_334 for (2968ds/770Mi)
% 23.85/4.78 % (548)Instruction limit reached!
% 23.85/4.78 % (548)------------------------------
% 23.85/4.78 % (548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.85/4.78 % (548)Termination reason: Unknown
% 23.85/4.78 % (548)Termination phase: Saturation
% 23.85/4.78
% 23.85/4.78 % (548)Memory used [KB]: 10490
% 23.85/4.78 % (548)Time elapsed: 2.085 s
% 23.85/4.78 % (548)Instructions burned: 4438 (million)
% 23.85/4.78 % (548)------------------------------
% 23.85/4.78 % (548)------------------------------
% 23.85/4.79 % (595)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_334 for (2965ds/794Mi)
% 24.25/4.80 % (571)Instruction limit reached!
% 24.25/4.80 % (571)------------------------------
% 24.25/4.80 % (571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.25/4.80 % (571)Termination reason: Unknown
% 24.25/4.80 % (571)Termination phase: Saturation
% 24.25/4.80
% 24.25/4.80 % (571)Memory used [KB]: 8187
% 24.25/4.80 % (571)Time elapsed: 0.865 s
% 24.25/4.80 % (571)Instructions burned: 1828 (million)
% 24.25/4.80 % (571)------------------------------
% 24.25/4.80 % (571)------------------------------
% 24.25/4.82 % (596)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_334 for (2964ds/464Mi)
% 24.25/4.83 % (594)Instruction limit reached!
% 24.25/4.83 % (594)------------------------------
% 24.25/4.83 % (594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.25/4.83 % (594)Termination reason: Unknown
% 24.25/4.83 % (594)Termination phase: Saturation
% 24.25/4.83
% 24.25/4.83 % (594)Memory used [KB]: 7931
% 24.25/4.83 % (594)Time elapsed: 0.381 s
% 24.25/4.83 % (594)Instructions burned: 771 (million)
% 24.25/4.83 % (594)------------------------------
% 24.25/4.83 % (594)------------------------------
% 24.25/4.84 % (597)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_334 for (2964ds/1376Mi)
% 24.82/4.97 % (554)Instruction limit reached!
% 24.82/4.97 % (554)------------------------------
% 24.82/4.97 % (554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.82/4.97 % (554)Termination reason: Unknown
% 24.82/4.97 % (554)Termination phase: Saturation
% 24.82/4.97
% 24.82/4.97 % (554)Memory used [KB]: 12409
% 24.82/4.97 % (554)Time elapsed: 2.009 s
% 24.82/4.97 % (554)Instructions burned: 4351 (million)
% 24.82/4.97 % (554)------------------------------
% 24.82/4.97 % (554)------------------------------
% 24.82/4.99 % (598)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_334 for (2963ds/906Mi)
% 27.36/5.04 % (596)Instruction limit reached!
% 27.36/5.04 % (596)------------------------------
% 27.36/5.04 % (596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.36/5.04 % (596)Termination reason: Unknown
% 27.36/5.04 % (596)Termination phase: Saturation
% 27.36/5.04
% 27.36/5.04 % (596)Memory used [KB]: 6652
% 27.36/5.04 % (596)Time elapsed: 0.227 s
% 27.36/5.04 % (596)Instructions burned: 465 (million)
% 27.36/5.04 % (596)------------------------------
% 27.36/5.04 % (596)------------------------------
% 27.36/5.05 % (595)Instruction limit reached!
% 27.36/5.05 % (595)------------------------------
% 27.36/5.05 % (595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.36/5.05 % (595)Termination reason: Unknown
% 27.36/5.05 % (595)Termination phase: Saturation
% 27.36/5.05
% 27.36/5.05 % (595)Memory used [KB]: 4733
% 27.36/5.05 % (595)Time elapsed: 0.244 s
% 27.36/5.05 % (595)Instructions burned: 796 (million)
% 27.36/5.05 % (595)------------------------------
% 27.36/5.05 % (595)------------------------------
% 27.36/5.06 % (599)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_334 for (2962ds/434Mi)
% 27.36/5.06 % (600)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_334 for (2962ds/865Mi)
% 28.02/5.13 % (551)Instruction limit reached!
% 28.02/5.13 % (551)------------------------------
% 28.02/5.13 % (551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.02/5.13 % (551)Termination reason: Unknown
% 28.02/5.13 % (551)Termination phase: Saturation
% 28.02/5.13
% 28.02/5.13 % (551)Memory used [KB]: 11769
% 28.02/5.13 % (551)Time elapsed: 2.359 s
% 28.02/5.13 % (551)Instructions burned: 5206 (million)
% 28.02/5.13 % (551)------------------------------
% 28.02/5.13 % (551)------------------------------
% 28.02/5.15 % (601)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_334 for (2961ds/593Mi)
% 28.35/5.26 % (599)Instruction limit reached!
% 28.35/5.26 % (599)------------------------------
% 28.35/5.26 % (599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.35/5.26 % (599)Termination reason: Unknown
% 28.35/5.26 % (599)Termination phase: Saturation
% 28.35/5.26
% 28.35/5.26 % (599)Memory used [KB]: 7036
% 28.35/5.26 % (599)Time elapsed: 0.205 s
% 28.35/5.26 % (599)Instructions burned: 434 (million)
% 28.35/5.26 % (599)------------------------------
% 28.35/5.26 % (599)------------------------------
% 28.35/5.28 % (602)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_334 for (2960ds/443Mi)
% 29.37/5.44 % (601)Instruction limit reached!
% 29.37/5.44 % (601)------------------------------
% 29.37/5.44 % (601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.44 % (601)Termination reason: Unknown
% 29.37/5.44 % (601)Termination phase: Saturation
% 29.37/5.44
% 29.37/5.44 % (601)Memory used [KB]: 7036
% 29.37/5.44 % (601)Time elapsed: 0.293 s
% 29.37/5.44 % (601)Instructions burned: 594 (million)
% 29.37/5.44 % (601)------------------------------
% 29.37/5.44 % (601)------------------------------
% 29.37/5.44 % (598)Instruction limit reached!
% 29.37/5.44 % (598)------------------------------
% 29.37/5.44 % (598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.44 % (598)Termination reason: Unknown
% 29.37/5.44 % (598)Termination phase: Saturation
% 29.37/5.44
% 29.37/5.44 % (598)Memory used [KB]: 13688
% 29.37/5.44 % (598)Time elapsed: 0.454 s
% 29.37/5.44 % (598)Instructions burned: 909 (million)
% 29.37/5.44 % (598)------------------------------
% 29.37/5.44 % (598)------------------------------
% 29.37/5.45 % (603)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_334 for (2958ds/594Mi)
% 29.37/5.47 % (604)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_334 for (2958ds/327Mi)
% 29.37/5.47 % (600)Instruction limit reached!
% 29.37/5.47 % (600)------------------------------
% 29.37/5.47 % (600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.47 % (600)Termination reason: Unknown
% 29.37/5.47 % (600)Termination phase: Saturation
% 29.37/5.47
% 29.37/5.47 % (600)Memory used [KB]: 9083
% 29.37/5.47 % (600)Time elapsed: 0.411 s
% 29.37/5.47 % (600)Instructions burned: 865 (million)
% 29.37/5.47 % (600)------------------------------
% 29.37/5.47 % (600)------------------------------
% 29.37/5.49 % (602)Instruction limit reached!
% 29.37/5.49 % (602)------------------------------
% 29.37/5.49 % (602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.49 % (602)Termination reason: Unknown
% 29.37/5.49 % (602)Termination phase: Saturation
% 29.37/5.49
% 29.37/5.49 % (602)Memory used [KB]: 6908
% 29.37/5.49 % (602)Time elapsed: 0.209 s
% 29.37/5.49 % (602)Instructions burned: 444 (million)
% 29.37/5.49 % (602)------------------------------
% 29.37/5.49 % (602)------------------------------
% 29.37/5.49 % (597)Instruction limit reached!
% 29.37/5.49 % (597)------------------------------
% 29.37/5.49 % (597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.37/5.49 % (597)Termination reason: Unknown
% 29.37/5.49 % (597)Termination phase: Saturation
% 29.37/5.49
% 29.37/5.49 % (597)Memory used [KB]: 9850
% 29.37/5.49 % (597)Time elapsed: 0.649 s
% 29.37/5.49 % (597)Instructions burned: 1377 (million)
% 29.37/5.49 % (597)------------------------------
% 29.37/5.49 % (597)------------------------------
% 29.37/5.49 % (605)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_334 for (2958ds/5411Mi)
% 30.69/5.51 % (607)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_334 for (2958ds/96Mi)
% 30.69/5.52 % (606)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_334 for (2958ds/1762Mi)
% 30.69/5.55 % (607)Instruction limit reached!
% 30.69/5.55 % (607)------------------------------
% 30.69/5.55 % (607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.69/5.55 % (607)Termination reason: Unknown
% 30.69/5.55 % (607)Termination phase: Saturation
% 30.69/5.55
% 30.69/5.55 % (607)Memory used [KB]: 5884
% 30.69/5.55 % (607)Time elapsed: 0.049 s
% 30.69/5.55 % (607)Instructions burned: 98 (million)
% 30.69/5.55 % (607)------------------------------
% 30.69/5.55 % (607)------------------------------
% 30.69/5.57 % (608)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_334 for (2957ds/503Mi)
% 30.95/5.63 % (604)Instruction limit reached!
% 30.95/5.63 % (604)------------------------------
% 30.95/5.63 % (604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.95/5.63 % (604)Termination reason: Unknown
% 30.95/5.63 % (604)Termination phase: Saturation
% 30.95/5.63
% 30.95/5.63 % (604)Memory used [KB]: 6780
% 30.95/5.63 % (604)Time elapsed: 0.163 s
% 30.95/5.63 % (604)Instructions burned: 327 (million)
% 30.95/5.63 % (604)------------------------------
% 30.95/5.63 % (604)------------------------------
% 30.95/5.65 % (609)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_334 for (2956ds/90Mi)
% 30.95/5.69 % (603)Instruction limit reached!
% 30.95/5.69 % (603)------------------------------
% 30.95/5.69 % (603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.95/5.69 % (603)Termination reason: Unknown
% 30.95/5.69 % (603)Termination phase: Saturation
% 30.95/5.69
% 30.95/5.69 % (603)Memory used [KB]: 7291
% 30.95/5.69 % (603)Time elapsed: 0.234 s
% 30.95/5.69 % (603)Instructions burned: 596 (million)
% 30.95/5.69 % (603)------------------------------
% 30.95/5.69 % (603)------------------------------
% 30.95/5.69 % (609)Instruction limit reached!
% 30.95/5.69 % (609)------------------------------
% 30.95/5.69 % (609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.95/5.69 % (609)Termination reason: Unknown
% 30.95/5.69 % (609)Termination phase: Saturation
% 30.95/5.69
% 30.95/5.69 % (609)Memory used [KB]: 6140
% 30.95/5.69 % (609)Time elapsed: 0.048 s
% 30.95/5.69 % (609)Instructions burned: 91 (million)
% 30.95/5.69 % (609)------------------------------
% 30.95/5.69 % (609)------------------------------
% 31.63/5.70 % (610)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_334 for (2956ds/593Mi)
% 31.63/5.71 % (611)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_334 for (2956ds/1512Mi)
% 31.83/5.81 % (608)Instruction limit reached!
% 31.83/5.81 % (608)------------------------------
% 31.83/5.81 % (608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.83/5.81 % (608)Termination reason: Unknown
% 31.83/5.81 % (608)Termination phase: Saturation
% 31.83/5.81
% 31.83/5.81 % (608)Memory used [KB]: 7547
% 31.83/5.81 % (608)Time elapsed: 0.245 s
% 31.83/5.81 % (608)Instructions burned: 503 (million)
% 31.83/5.81 % (608)------------------------------
% 31.83/5.81 % (608)------------------------------
% 31.83/5.83 % (613)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_334 for (2954ds/569Mi)
% 32.30/5.99 % (610)Instruction limit reached!
% 32.30/5.99 % (610)------------------------------
% 32.30/5.99 % (610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.30/5.99 % (610)Termination reason: Unknown
% 32.30/5.99 % (610)Termination phase: Saturation
% 32.30/5.99
% 32.30/5.99 % (610)Memory used [KB]: 7547
% 32.30/5.99 % (610)Time elapsed: 0.286 s
% 32.30/5.99 % (610)Instructions burned: 594 (million)
% 32.30/5.99 % (610)------------------------------
% 32.30/5.99 % (610)------------------------------
% 32.30/6.00 % (614)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_334 for (2953ds/501Mi)
% 34.38/6.09 % (613)Instruction limit reached!
% 34.38/6.09 % (613)------------------------------
% 34.38/6.09 % (613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.38/6.09 % (613)Termination reason: Unknown
% 34.38/6.09 % (613)Termination phase: Saturation
% 34.38/6.09
% 34.38/6.09 % (613)Memory used [KB]: 6268
% 34.38/6.09 % (613)Time elapsed: 0.260 s
% 34.38/6.09 % (613)Instructions burned: 569 (million)
% 34.38/6.09 % (613)------------------------------
% 34.38/6.09 % (613)------------------------------
% 34.38/6.11 % (616)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_334 for (2952ds/562Mi)
% 35.55/6.24 % (614)Instruction limit reached!
% 35.55/6.24 % (614)------------------------------
% 35.55/6.24 % (614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.55/6.24 % (614)Termination reason: Unknown
% 35.55/6.24 % (614)Termination phase: Saturation
% 35.55/6.24
% 35.55/6.24 % (614)Memory used [KB]: 7291
% 35.55/6.24 % (614)Time elapsed: 0.235 s
% 35.55/6.24 % (614)Instructions burned: 502 (million)
% 35.55/6.24 % (614)------------------------------
% 35.55/6.24 % (614)------------------------------
% 35.55/6.25 % (617)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_334 for (2950ds/406Mi)
% 36.11/6.36 % (606)Instruction limit reached!
% 36.11/6.36 % (606)------------------------------
% 36.11/6.36 % (606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.11/6.36 % (606)Termination reason: Unknown
% 36.11/6.36 % (606)Termination phase: Saturation
% 36.11/6.36
% 36.11/6.36 % (606)Memory used [KB]: 9083
% 36.11/6.36 % (606)Time elapsed: 0.868 s
% 36.11/6.36 % (606)Instructions burned: 1763 (million)
% 36.11/6.36 % (606)------------------------------
% 36.11/6.36 % (606)------------------------------
% 36.11/6.38 % (575)Instruction limit reached!
% 36.11/6.38 % (575)------------------------------
% 36.11/6.38 % (575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.11/6.38 % (575)Termination reason: Unknown
% 36.11/6.38 % (575)Termination phase: Saturation
% 36.11/6.38
% 36.11/6.38 % (575)Memory used [KB]: 8827
% 36.11/6.38 % (575)Time elapsed: 2.275 s
% 36.11/6.38 % (575)Instructions burned: 4714 (million)
% 36.11/6.38 % (575)------------------------------
% 36.11/6.38 % (575)------------------------------
% 36.11/6.38 % (664)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_334 for (2949ds/582Mi)
% 36.11/6.38 % (616)Instruction limit reached!
% 36.11/6.38 % (616)------------------------------
% 36.11/6.38 % (616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.11/6.38 % (616)Termination reason: Unknown
% 36.11/6.38 % (616)Termination phase: Saturation
% 36.11/6.38
% 36.11/6.38 % (616)Memory used [KB]: 7036
% 36.11/6.38 % (616)Time elapsed: 0.276 s
% 36.11/6.38 % (616)Instructions burned: 562 (million)
% 36.11/6.38 % (616)------------------------------
% 36.11/6.38 % (616)------------------------------
% 36.11/6.40 % (665)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_334 for (2949ds/456Mi)
% 36.11/6.40 % (666)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_334 for (2949ds/393Mi)
% 36.86/6.44 % (611)Instruction limit reached!
% 36.86/6.44 % (611)------------------------------
% 36.86/6.44 % (611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.86/6.44 % (611)Termination reason: Unknown
% 36.86/6.44 % (611)Termination phase: Saturation
% 36.86/6.44
% 36.86/6.44 % (611)Memory used [KB]: 7803
% 36.86/6.44 % (611)Time elapsed: 0.730 s
% 36.86/6.44 % (611)Instructions burned: 1514 (million)
% 36.86/6.44 % (611)------------------------------
% 36.86/6.44 % (611)------------------------------
% 36.86/6.46 % (667)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_334 for (2948ds/1335Mi)
% 36.86/6.46 % (617)Instruction limit reached!
% 36.86/6.46 % (617)------------------------------
% 36.86/6.46 % (617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.86/6.46 % (617)Termination reason: Unknown
% 36.86/6.46 % (617)Termination phase: Saturation
% 36.86/6.46
% 36.86/6.46 % (617)Memory used [KB]: 7036
% 36.86/6.46 % (617)Time elapsed: 0.207 s
% 36.86/6.46 % (617)Instructions burned: 407 (million)
% 36.86/6.46 % (617)------------------------------
% 36.86/6.46 % (617)------------------------------
% 36.86/6.47 % (668)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_334 for (2948ds/3373Mi)
% 37.34/6.59 % (666)Refutation not found, non-redundant clauses discarded% (666)------------------------------
% 37.34/6.59 % (666)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.34/6.59 % (666)Termination reason: Refutation not found, non-redundant clauses discarded
% 37.34/6.59
% 37.34/6.59 % (666)Memory used [KB]: 7036
% 37.34/6.59 % (666)Time elapsed: 0.190 s
% 37.34/6.59 % (666)Instructions burned: 377 (million)
% 37.34/6.59 % (666)------------------------------
% 37.34/6.59 % (666)------------------------------
% 37.74/6.60 % (669)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_334 for (2947ds/474Mi)
% 37.74/6.61 % (665)Instruction limit reached!
% 37.74/6.61 % (665)------------------------------
% 37.74/6.61 % (665)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.74/6.61 % (665)Termination reason: Unknown
% 37.74/6.61 % (665)Termination phase: Saturation
% 37.74/6.61
% 37.74/6.61 % (665)Memory used [KB]: 7036
% 37.74/6.61 % (665)Time elapsed: 0.217 s
% 37.74/6.61 % (665)Instructions burned: 457 (million)
% 37.74/6.61 % (665)------------------------------
% 37.74/6.61 % (665)------------------------------
% 37.74/6.63 % (670)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_334 for (2946ds/157Mi)
% 37.74/6.66 % (664)Instruction limit reached!
% 37.74/6.66 % (664)------------------------------
% 37.74/6.66 % (664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.74/6.66 % (664)Termination reason: Unknown
% 37.74/6.66 % (664)Termination phase: Saturation
% 37.74/6.66
% 37.74/6.66 % (664)Memory used [KB]: 6780
% 37.74/6.66 % (664)Time elapsed: 0.283 s
% 37.74/6.66 % (664)Instructions burned: 582 (million)
% 37.74/6.66 % (664)------------------------------
% 37.74/6.66 % (664)------------------------------
% 37.74/6.68 % (671)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_334 for (2946ds/590Mi)
% 37.74/6.69 % (670)Instruction limit reached!
% 37.74/6.69 % (670)------------------------------
% 37.74/6.69 % (670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.74/6.69 % (670)Termination reason: Unknown
% 37.74/6.69 % (670)Termination phase: Saturation
% 37.74/6.69
% 37.74/6.69 % (670)Memory used [KB]: 6012
% 37.74/6.69 % (670)Time elapsed: 0.066 s
% 37.74/6.69 % (670)Instructions burned: 157 (million)
% 37.74/6.69 % (670)------------------------------
% 37.74/6.69 % (670)------------------------------
% 38.55/6.71 % (672)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_334 for (2946ds/104Mi)
% 38.55/6.76 % (672)Instruction limit reached!
% 38.55/6.76 % (672)------------------------------
% 38.55/6.76 % (672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.55/6.76 % (672)Termination reason: Unknown
% 38.55/6.76 % (672)Termination phase: Saturation
% 38.55/6.76
% 38.55/6.76 % (672)Memory used [KB]: 6140
% 38.55/6.76 % (672)Time elapsed: 0.052 s
% 38.55/6.76 % (672)Instructions burned: 105 (million)
% 38.55/6.76 % (672)------------------------------
% 38.55/6.76 % (672)------------------------------
% 38.55/6.77 % (673)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_334 for (2945ds/414Mi)
% 38.83/6.83 % (669)Instruction limit reached!
% 38.83/6.83 % (669)------------------------------
% 38.83/6.83 % (669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.83/6.83 % (669)Termination reason: Unknown
% 38.83/6.83 % (669)Termination phase: Saturation
% 38.83/6.83
% 38.83/6.83 % (669)Memory used [KB]: 6780
% 38.83/6.83 % (669)Time elapsed: 0.224 s
% 38.83/6.83 % (669)Instructions burned: 475 (million)
% 38.83/6.83 % (669)------------------------------
% 38.83/6.83 % (669)------------------------------
% 38.83/6.84 % (674)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_334 for (2944ds/715Mi)
% 39.27/6.91 % (673)Instruction limit reached!
% 39.27/6.91 % (673)------------------------------
% 39.27/6.91 % (673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.27/6.91 % (673)Termination reason: Unknown
% 39.27/6.91 % (673)Termination phase: Saturation
% 39.27/6.91
% 39.27/6.91 % (673)Memory used [KB]: 6396
% 39.27/6.91 % (673)Time elapsed: 0.161 s
% 39.27/6.91 % (673)Instructions burned: 416 (million)
% 39.27/6.91 % (673)------------------------------
% 39.27/6.91 % (673)------------------------------
% 39.27/6.92 % (675)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_334 for (2943ds/961Mi)
% 39.27/6.93 % (671)Instruction limit reached!
% 39.27/6.93 % (671)------------------------------
% 39.27/6.93 % (671)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 39.27/6.93 % (671)Termination reason: Unknown
% 39.27/6.93 % (671)Termination phase: Saturation
% 39.27/6.93
% 39.27/6.93 % (671)Memory used [KB]: 6524
% 39.27/6.93 % (671)Time elapsed: 0.257 s
% 39.27/6.93 % (671)Instructions burned: 590 (million)
% 39.27/6.93 % (671)------------------------------
% 39.27/6.93 % (671)------------------------------
% 39.27/6.94 % (676)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_334 for (2943ds/1213Mi)
% 41.32/7.02 % (667)Instruction limit reached!
% 41.32/7.02 % (667)------------------------------
% 41.32/7.02 % (667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.32/7.02 % (667)Termination reason: Unknown
% 41.32/7.02 % (667)Termination phase: Saturation
% 41.32/7.02
% 41.32/7.02 % (667)Memory used [KB]: 7675
% 41.32/7.02 % (667)Time elapsed: 0.561 s
% 41.32/7.02 % (667)Instructions burned: 1335 (million)
% 41.32/7.02 % (667)------------------------------
% 41.32/7.02 % (667)------------------------------
% 41.32/7.03 % (677)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_334 for (2942ds/1979Mi)
% 41.32/7.05 % (674)Instruction limit reached!
% 41.32/7.05 % (674)------------------------------
% 41.32/7.05 % (674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.32/7.05 % (674)Termination reason: Unknown
% 41.32/7.05 % (674)Termination phase: Saturation
% 41.32/7.05
% 41.32/7.05 % (674)Memory used [KB]: 3582
% 41.32/7.05 % (674)Time elapsed: 0.233 s
% 41.32/7.05 % (674)Instructions burned: 715 (million)
% 41.32/7.05 % (674)------------------------------
% 41.32/7.05 % (674)------------------------------
% 41.32/7.06 % (678)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_334 for (2942ds/481Mi)
% 42.34/7.21 % (678)Instruction limit reached!
% 42.34/7.21 % (678)------------------------------
% 42.34/7.21 % (678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.34/7.21 % (678)Termination reason: Unknown
% 42.34/7.21 % (678)Termination phase: Saturation
% 42.34/7.21
% 42.34/7.21 % (678)Memory used [KB]: 6268
% 42.34/7.21 % (678)Time elapsed: 0.178 s
% 42.34/7.21 % (678)Instructions burned: 481 (million)
% 42.34/7.21 % (678)------------------------------
% 42.34/7.21 % (678)------------------------------
% 42.34/7.22 % (705)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_334 for (2940ds/783Mi)
% 42.34/7.25 % (675)Instruction limit reached!
% 42.34/7.25 % (675)------------------------------
% 42.34/7.25 % (675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.34/7.25 % (675)Termination reason: Unknown
% 42.34/7.25 % (675)Termination phase: Saturation
% 42.34/7.25
% 42.34/7.25 % (675)Memory used [KB]: 7036
% 42.34/7.25 % (675)Time elapsed: 0.348 s
% 42.34/7.25 % (675)Instructions burned: 963 (million)
% 42.34/7.25 % (675)------------------------------
% 42.34/7.25 % (675)------------------------------
% 42.34/7.26 % (727)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_334 for (2940ds/432Mi)
% 42.96/7.32 % (676)Instruction limit reached!
% 42.96/7.32 % (676)------------------------------
% 42.96/7.32 % (676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.96/7.32 % (676)Termination reason: Unknown
% 42.96/7.32 % (676)Termination phase: Saturation
% 42.96/7.32
% 42.96/7.32 % (676)Memory used [KB]: 8059
% 42.96/7.32 % (676)Time elapsed: 0.400 s
% 42.96/7.32 % (676)Instructions burned: 1213 (million)
% 42.96/7.32 % (676)------------------------------
% 42.96/7.32 % (676)------------------------------
% 42.96/7.33 % (760)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_334 for (2939ds/1670Mi)
% 42.96/7.38 % (727)Instruction limit reached!
% 42.96/7.38 % (727)------------------------------
% 42.96/7.38 % (727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.96/7.38 % (727)Termination reason: Unknown
% 42.96/7.38 % (727)Termination phase: Saturation
% 42.96/7.38
% 42.96/7.38 % (727)Memory used [KB]: 7931
% 42.96/7.38 % (727)Time elapsed: 0.130 s
% 42.96/7.38 % (727)Instructions burned: 433 (million)
% 42.96/7.38 % (727)------------------------------
% 42.96/7.38 % (727)------------------------------
% 42.96/7.39 % (794)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_334 for (2939ds/90Mi)
% 43.42/7.42 % (794)Instruction limit reached!
% 43.42/7.42 % (794)------------------------------
% 43.42/7.42 % (794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.42/7.42 % (794)Termination reason: Unknown
% 43.42/7.42 % (794)Termination phase: Saturation
% 43.42/7.42
% 43.42/7.42 % (794)Memory used [KB]: 5884
% 43.42/7.42 % (794)Time elapsed: 0.030 s
% 43.42/7.42 % (794)Instructions burned: 92 (million)
% 43.42/7.42 % (794)------------------------------
% 43.42/7.42 % (794)------------------------------
% 43.42/7.43 % (810)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_334 for (2938ds/346Mi)
% 43.42/7.46 % (705)Instruction limit reached!
% 43.42/7.46 % (705)------------------------------
% 43.42/7.46 % (705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.42/7.46 % (705)Termination reason: Unknown
% 43.42/7.46 % (705)Termination phase: Saturation
% 43.42/7.46
% 43.42/7.46 % (705)Memory used [KB]: 8443
% 43.42/7.46 % (705)Time elapsed: 0.243 s
% 43.42/7.46 % (705)Instructions burned: 784 (million)
% 43.42/7.46 % (705)------------------------------
% 43.42/7.46 % (705)------------------------------
% 43.42/7.47 % (834)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_334 for (2938ds/401Mi)
% 44.03/7.54 % (810)Instruction limit reached!
% 44.03/7.54 % (810)------------------------------
% 44.03/7.54 % (810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.03/7.54 % (810)Termination reason: Unknown
% 44.03/7.54 % (810)Termination phase: Saturation
% 44.03/7.54
% 44.03/7.54 % (810)Memory used [KB]: 6396
% 44.03/7.54 % (810)Time elapsed: 0.112 s
% 44.03/7.54 % (810)Instructions burned: 346 (million)
% 44.03/7.54 % (810)------------------------------
% 44.03/7.54 % (810)------------------------------
% 44.03/7.55 % (868)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_334 for (2937ds/6454Mi)
% 44.03/7.58 % (668)Instruction limit reached!
% 44.03/7.58 % (668)------------------------------
% 44.03/7.58 % (668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.03/7.58 % (668)Termination reason: Unknown
% 44.03/7.58 % (668)Termination phase: Saturation
% 44.03/7.58
% 44.03/7.58 % (668)Memory used [KB]: 10746
% 44.03/7.58 % (668)Time elapsed: 1.110 s
% 44.03/7.58 % (668)Instructions burned: 3374 (million)
% 44.03/7.58 % (668)------------------------------
% 44.03/7.58 % (668)------------------------------
% 44.03/7.59 % (878)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_334 for (2937ds/283Mi)
% 44.45/7.60 % (834)Instruction limit reached!
% 44.45/7.60 % (834)------------------------------
% 44.45/7.60 % (834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.60 % (834)Termination reason: Unknown
% 44.45/7.60 % (834)Termination phase: Saturation
% 44.45/7.60
% 44.45/7.60 % (834)Memory used [KB]: 6780
% 44.45/7.60 % (834)Time elapsed: 0.128 s
% 44.45/7.60 % (834)Instructions burned: 401 (million)
% 44.45/7.60 % (834)------------------------------
% 44.45/7.60 % (834)------------------------------
% 44.45/7.61 % (885)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/865Mi)
% 44.45/7.62 % (677)Instruction limit reached!
% 44.45/7.62 % (677)------------------------------
% 44.45/7.62 % (677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.62 % (677)Termination reason: Unknown
% 44.45/7.62 % (677)Termination phase: Saturation
% 44.45/7.62
% 44.45/7.62 % (677)Memory used [KB]: 8827
% 44.45/7.62 % (677)Time elapsed: 0.620 s
% 44.45/7.62 % (677)Instructions burned: 1979 (million)
% 44.45/7.62 % (677)------------------------------
% 44.45/7.62 % (677)------------------------------
% 44.45/7.62 % (576)Instruction limit reached!
% 44.45/7.62 % (576)------------------------------
% 44.45/7.62 % (576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.62 % (576)Termination reason: Unknown
% 44.45/7.62 % (576)Termination phase: Saturation
% 44.45/7.62
% 44.45/7.62 % (576)Memory used [KB]: 13304
% 44.45/7.62 % (576)Time elapsed: 3.491 s
% 44.45/7.62 % (576)Instructions burned: 8250 (million)
% 44.45/7.62 % (576)------------------------------
% 44.45/7.62 % (576)------------------------------
% 44.45/7.63 % (605)Instruction limit reached!
% 44.45/7.63 % (605)------------------------------
% 44.45/7.63 % (605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.63 % (605)Termination reason: Unknown
% 44.45/7.63 % (605)Termination phase: Saturation
% 44.45/7.63
% 44.45/7.63 % (605)Memory used [KB]: 11385
% 44.45/7.63 % (605)Time elapsed: 2.140 s
% 44.45/7.63 % (605)Instructions burned: 5412 (million)
% 44.45/7.63 % (605)------------------------------
% 44.45/7.63 % (605)------------------------------
% 44.45/7.63 % (892)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/4528Mi)
% 44.45/7.63 % (893)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/1001Mi)
% 44.45/7.64 % (901)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/102Mi)
% 44.45/7.67 % (901)Instruction limit reached!
% 44.45/7.67 % (901)------------------------------
% 44.45/7.67 % (901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.67 % (901)Termination reason: Unknown
% 44.45/7.67 % (901)Termination phase: Saturation
% 44.45/7.67
% 44.45/7.67 % (901)Memory used [KB]: 6268
% 44.45/7.67 % (901)Time elapsed: 0.033 s
% 44.45/7.67 % (901)Instructions burned: 103 (million)
% 44.45/7.67 % (901)------------------------------
% 44.45/7.67 % (901)------------------------------
% 44.45/7.68 % (878)Instruction limit reached!
% 44.45/7.68 % (878)------------------------------
% 44.45/7.68 % (878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.45/7.68 % (878)Termination reason: Unknown
% 44.45/7.68 % (878)Termination phase: Saturation
% 44.45/7.68
% 44.45/7.68 % (878)Memory used [KB]: 6652
% 44.45/7.68 % (878)Time elapsed: 0.087 s
% 44.45/7.68 % (878)Instructions burned: 285 (million)
% 44.45/7.68 % (878)------------------------------
% 44.45/7.68 % (878)------------------------------
% 44.45/7.68 % (925)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/952Mi)
% 44.45/7.69 % (932)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_334 for (2936ds/578Mi)
% 45.41/7.83 % (893)Instruction limit reached!
% 45.41/7.83 % (893)------------------------------
% 45.41/7.83 % (893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.83 % (893)Termination reason: Unknown
% 45.41/7.83 % (893)Termination phase: Saturation
% 45.41/7.83
% 45.41/7.83 % (893)Memory used [KB]: 6908
% 45.41/7.83 % (893)Time elapsed: 0.200 s
% 45.41/7.83 % (893)Instructions burned: 1006 (million)
% 45.41/7.83 % (893)------------------------------
% 45.41/7.83 % (893)------------------------------
% 45.41/7.84 % (946)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_334 for (2934ds/643Mi)
% 45.41/7.85 % (932)Instruction limit reached!
% 45.41/7.85 % (932)------------------------------
% 45.41/7.85 % (932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.85 % (932)Termination reason: Unknown
% 45.41/7.85 % (932)Termination phase: Saturation
% 45.41/7.85
% 45.41/7.85 % (932)Memory used [KB]: 6780
% 45.41/7.85 % (932)Time elapsed: 0.162 s
% 45.41/7.85 % (932)Instructions burned: 578 (million)
% 45.41/7.85 % (932)------------------------------
% 45.41/7.85 % (932)------------------------------
% 45.41/7.86 % (760)Instruction limit reached!
% 45.41/7.86 % (760)------------------------------
% 45.41/7.86 % (760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.86 % (760)Termination reason: Unknown
% 45.41/7.86 % (760)Termination phase: Saturation
% 45.41/7.86
% 45.41/7.86 % (760)Memory used [KB]: 7547
% 45.41/7.86 % (760)Time elapsed: 0.529 s
% 45.41/7.86 % (760)Instructions burned: 1670 (million)
% 45.41/7.86 % (760)------------------------------
% 45.41/7.86 % (760)------------------------------
% 45.41/7.86 % (947)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_334 for (2934ds/865Mi)
% 45.41/7.86 % (948)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_334 for (2934ds/1174Mi)
% 45.41/7.88 % (885)Instruction limit reached!
% 45.41/7.88 % (885)------------------------------
% 45.41/7.88 % (885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.41/7.88 % (885)Termination reason: Unknown
% 45.41/7.88 % (885)Termination phase: Saturation
% 45.41/7.88
% 45.41/7.88 % (885)Memory used [KB]: 8315
% 45.41/7.88 % (885)Time elapsed: 0.275 s
% 45.41/7.88 % (885)Instructions burned: 868 (million)
% 45.41/7.88 % (885)------------------------------
% 45.41/7.88 % (885)------------------------------
% 45.41/7.89 % (949)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_334 for (2934ds/644Mi)
% 46.62/7.97 % (925)Instruction limit reached!
% 46.62/7.97 % (925)------------------------------
% 46.62/7.97 % (925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 46.62/7.97 % (925)Termination reason: Unknown
% 46.62/7.97 % (925)Termination phase: Saturation
% 46.62/7.97
% 46.62/7.97 % (925)Memory used [KB]: 8827
% 46.62/7.97 % (925)Time elapsed: 0.295 s
% 46.62/7.97 % (925)Instructions burned: 952 (million)
% 46.62/7.97 % (925)------------------------------
% 46.62/7.97 % (925)------------------------------
% 46.62/7.98 % (950)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_334 for (2933ds/1201Mi)
% 48.39/8.04 % (946)Instruction limit reached!
% 48.39/8.04 % (946)------------------------------
% 48.39/8.04 % (946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.39/8.04 % (946)Termination reason: Unknown
% 48.39/8.04 % (946)Termination phase: Saturation
% 48.39/8.04
% 48.39/8.04 % (946)Memory used [KB]: 6268
% 48.39/8.04 % (946)Time elapsed: 0.201 s
% 48.39/8.04 % (946)Instructions burned: 644 (million)
% 48.39/8.04 % (946)------------------------------
% 48.39/8.04 % (946)------------------------------
% 48.39/8.05 % (951)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_334 for (2932ds/1046Mi)
% 48.39/8.09 % (949)Instruction limit reached!
% 48.39/8.09 % (949)------------------------------
% 48.39/8.09 % (949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.39/8.09 % (949)Termination reason: Unknown
% 48.39/8.09 % (949)Termination phase: Saturation
% 48.39/8.09
% 48.39/8.09 % (949)Memory used [KB]: 7291
% 48.39/8.09 % (949)Time elapsed: 0.203 s
% 48.39/8.09 % (949)Instructions burned: 646 (million)
% 48.39/8.09 % (949)------------------------------
% 48.39/8.09 % (949)------------------------------
% 48.39/8.10 % (952)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_334 for (2931ds/222Mi)
% 48.39/8.12 % (947)Instruction limit reached!
% 48.39/8.12 % (947)------------------------------
% 48.39/8.12 % (947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.39/8.12 % (947)Termination reason: Unknown
% 48.39/8.12 % (947)Termination phase: Saturation
% 48.39/8.12
% 48.39/8.12 % (947)Memory used [KB]: 8955
% 48.39/8.12 % (947)Time elapsed: 0.266 s
% 48.39/8.12 % (947)Instructions burned: 865 (million)
% 48.39/8.12 % (947)------------------------------
% 48.39/8.12 % (947)------------------------------
% 48.82/8.13 % (961)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_334 for (2931ds/68Mi)
% 48.82/8.15 % (961)Instruction limit reached!
% 48.82/8.15 % (961)------------------------------
% 48.82/8.15 % (961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.82/8.15 % (961)Termination reason: Unknown
% 48.82/8.15 % (961)Termination phase: Saturation
% 48.82/8.15
% 48.82/8.15 % (961)Memory used [KB]: 6140
% 48.82/8.15 % (961)Time elapsed: 0.022 s
% 48.82/8.15 % (961)Instructions burned: 69 (million)
% 48.82/8.15 % (961)------------------------------
% 48.82/8.15 % (961)------------------------------
% 48.82/8.16 % (962)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_334 for (2931ds/454Mi)
% 48.82/8.17 % (952)Instruction limit reached!
% 48.82/8.17 % (952)------------------------------
% 48.82/8.17 % (952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.82/8.17 % (952)Termination reason: Unknown
% 48.82/8.17 % (952)Termination phase: Saturation
% 48.82/8.17
% 48.82/8.17 % (952)Memory used [KB]: 6268
% 48.82/8.17 % (952)Time elapsed: 0.070 s
% 48.82/8.17 % (952)Instructions burned: 224 (million)
% 48.82/8.17 % (952)------------------------------
% 48.82/8.17 % (952)------------------------------
% 48.82/8.18 % (963)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_334 for (2931ds/360Mi)
% 49.49/8.23 % (948)Instruction limit reached!
% 49.49/8.23 % (948)------------------------------
% 49.49/8.23 % (948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.49/8.23 % (948)Termination reason: Unknown
% 49.49/8.23 % (948)Termination phase: Saturation
% 49.49/8.23
% 49.49/8.23 % (948)Memory used [KB]: 7291
% 49.49/8.23 % (948)Time elapsed: 0.367 s
% 49.49/8.23 % (948)Instructions burned: 1176 (million)
% 49.49/8.23 % (948)------------------------------
% 49.49/8.23 % (948)------------------------------
% 49.49/8.24 % (965)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_334 for (2930ds/157Mi)
% 49.49/8.29 % (965)Instruction limit reached!
% 49.49/8.29 % (965)------------------------------
% 49.49/8.29 % (965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.49/8.29 % (965)Termination reason: Unknown
% 49.49/8.29 % (965)Termination phase: Saturation
% 49.49/8.29
% 49.49/8.29 % (965)Memory used [KB]: 5884
% 49.49/8.29 % (965)Time elapsed: 0.051 s
% 49.49/8.29 % (965)Instructions burned: 159 (million)
% 49.49/8.29 % (965)------------------------------
% 49.49/8.29 % (965)------------------------------
% 49.49/8.29 % (963)Instruction limit reached!
% 49.49/8.29 % (963)------------------------------
% 49.49/8.29 % (963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.49/8.29 % (963)Termination reason: Unknown
% 49.49/8.29 % (963)Termination phase: Saturation
% 49.49/8.29
% 49.49/8.29 % (963)Memory used [KB]: 6524
% 49.49/8.29 % (963)Time elapsed: 0.113 s
% 49.49/8.29 % (963)Instructions burned: 362 (million)
% 49.49/8.29 % (963)------------------------------
% 49.49/8.29 % (963)------------------------------
% 50.01/8.30 % (966)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_334 for (2930ds/5061Mi)
% 50.01/8.30 % (967)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_334 for (2930ds/2401Mi)
% 50.01/8.31 % (962)Instruction limit reached!
% 50.01/8.31 % (962)------------------------------
% 50.01/8.31 % (962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.01/8.31 % (962)Termination reason: Unknown
% 50.01/8.31 % (962)Termination phase: Saturation
% 50.01/8.31
% 50.01/8.31 % (962)Memory used [KB]: 10618
% 50.01/8.31 % (962)Time elapsed: 0.142 s
% 50.01/8.31 % (962)Instructions burned: 455 (million)
% 50.01/8.31 % (962)------------------------------
% 50.01/8.31 % (962)------------------------------
% 50.01/8.31 % (968)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_334 for (2929ds/5798Mi)
% 50.01/8.36 % (950)Instruction limit reached!
% 50.01/8.36 % (950)------------------------------
% 50.01/8.36 % (950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.01/8.36 % (950)Termination reason: Unknown
% 50.01/8.36 % (950)Termination phase: Saturation
% 50.01/8.36
% 50.01/8.36 % (950)Memory used [KB]: 8315
% 50.01/8.36 % (950)Time elapsed: 0.376 s
% 50.01/8.36 % (950)Instructions burned: 1203 (million)
% 50.01/8.36 % (950)------------------------------
% 50.01/8.36 % (950)------------------------------
% 50.01/8.37 % (969)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_334 for (2929ds/346Mi)
% 50.01/8.38 % (951)Instruction limit reached!
% 50.01/8.38 % (951)------------------------------
% 50.01/8.38 % (951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.01/8.38 % (951)Termination reason: Unknown
% 50.01/8.38 % (951)Termination phase: Saturation
% 50.01/8.38
% 50.01/8.38 % (951)Memory used [KB]: 8059
% 50.01/8.38 % (951)Time elapsed: 0.332 s
% 50.01/8.38 % (951)Instructions burned: 1047 (million)
% 50.01/8.38 % (951)------------------------------
% 50.01/8.38 % (951)------------------------------
% 50.01/8.39 % (970)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_334 for (2929ds/1321Mi)
% 50.78/8.48 % (969)Instruction limit reached!
% 50.78/8.48 % (969)------------------------------
% 50.78/8.48 % (969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.78/8.48 % (969)Termination reason: Unknown
% 50.78/8.48 % (969)Termination phase: Saturation
% 50.78/8.48
% 50.78/8.48 % (969)Memory used [KB]: 6396
% 50.78/8.48 % (969)Time elapsed: 0.109 s
% 50.78/8.48 % (969)Instructions burned: 346 (million)
% 50.78/8.48 % (969)------------------------------
% 50.78/8.48 % (969)------------------------------
% 50.78/8.49 % (971)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_334 for (2928ds/1312Mi)
% 51.50/8.78 % (970)Instruction limit reached!
% 51.50/8.78 % (970)------------------------------
% 51.50/8.78 % (970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.50/8.78 % (970)Termination reason: Unknown
% 51.50/8.78 % (970)Termination phase: Saturation
% 51.50/8.78
% 51.50/8.78 % (970)Memory used [KB]: 4093
% 51.50/8.78 % (970)Time elapsed: 0.384 s
% 51.50/8.78 % (970)Instructions burned: 1322 (million)
% 51.50/8.78 % (970)------------------------------
% 51.50/8.78 % (970)------------------------------
% 51.50/8.79 % (972)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_334 for (2925ds/672Mi)
% 52.09/8.87 % (971)Instruction limit reached!
% 52.09/8.87 % (971)------------------------------
% 52.09/8.87 % (971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.09/8.87 % (971)Termination reason: Unknown
% 52.09/8.87 % (971)Termination phase: Saturation
% 52.09/8.87
% 52.09/8.87 % (971)Memory used [KB]: 7419
% 52.09/8.87 % (971)Time elapsed: 0.380 s
% 52.09/8.87 % (971)Instructions burned: 1313 (million)
% 52.09/8.87 % (971)------------------------------
% 52.09/8.87 % (971)------------------------------
% 52.09/8.88 % (973)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_334 for (2924ds/1897Mi)
% 52.69/8.99 % (972)Instruction limit reached!
% 52.69/8.99 % (972)------------------------------
% 52.69/8.99 % (972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.69/8.99 % (972)Termination reason: Unknown
% 52.69/8.99 % (972)Termination phase: Saturation
% 52.69/8.99
% 52.69/8.99 % (972)Memory used [KB]: 8955
% 52.69/8.99 % (972)Time elapsed: 0.204 s
% 52.69/8.99 % (972)Instructions burned: 674 (million)
% 52.69/8.99 % (972)------------------------------
% 52.69/8.99 % (972)------------------------------
% 52.69/9.00 % (892)Instruction limit reached!
% 52.69/9.00 % (892)------------------------------
% 52.69/9.00 % (892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.69/9.00 % (892)Termination reason: Unknown
% 52.69/9.00 % (892)Termination phase: Saturation
% 52.69/9.00
% 52.69/9.00 % (892)Memory used [KB]: 8699
% 52.69/9.00 % (892)Time elapsed: 1.367 s
% 52.69/9.00 % (892)Instructions burned: 4528 (million)
% 52.69/9.00 % (892)------------------------------
% 52.69/9.00 % (892)------------------------------
% 52.69/9.00 % (974)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_334 for (2923ds/1202Mi)
% 52.69/9.00 % (967)Instruction limit reached!
% 52.69/9.00 % (967)------------------------------
% 52.69/9.00 % (967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 52.69/9.00 % (967)Termination reason: Unknown
% 52.69/9.00 % (967)Termination phase: Saturation
% 52.69/9.00
% 52.69/9.00 % (967)Memory used [KB]: 8571
% 52.69/9.00 % (967)Time elapsed: 0.703 s
% 52.69/9.00 % (967)Instructions burned: 2403 (million)
% 52.69/9.01 % (967)------------------------------
% 52.69/9.01 % (967)------------------------------
% 52.69/9.01 % (975)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_334 for (2923ds/1493Mi)
% 52.69/9.02 % (976)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_334 for (2922ds/7679Mi)
% 56.84/9.37 % (974)Instruction limit reached!
% 56.84/9.37 % (974)------------------------------
% 56.84/9.37 % (974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 56.84/9.37 % (974)Termination reason: Unknown
% 56.84/9.37 % (974)Termination phase: Saturation
% 56.84/9.37
% 56.84/9.37 % (974)Memory used [KB]: 4349
% 56.84/9.37 % (974)Time elapsed: 0.370 s
% 56.84/9.37 % (974)Instructions burned: 1203 (million)
% 56.84/9.37 % (974)------------------------------
% 56.84/9.37 % (974)------------------------------
% 56.84/9.38 % (977)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_334 for (2919ds/340Mi)
% 57.31/9.44 % (973)Instruction limit reached!
% 57.31/9.44 % (973)------------------------------
% 57.31/9.44 % (973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.44 % (973)Termination reason: Unknown
% 57.31/9.44 % (973)Termination phase: Saturation
% 57.31/9.44
% 57.31/9.44 % (973)Memory used [KB]: 9338
% 57.31/9.44 % (973)Time elapsed: 0.563 s
% 57.31/9.44 % (973)Instructions burned: 1899 (million)
% 57.31/9.44 % (973)------------------------------
% 57.31/9.44 % (973)------------------------------
% 57.31/9.45 % (978)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_334 for (2918ds/3672Mi)
% 57.31/9.48 % (975)Instruction limit reached!
% 57.31/9.48 % (975)------------------------------
% 57.31/9.48 % (975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.48 % (975)Termination reason: Unknown
% 57.31/9.48 % (975)Termination phase: Saturation
% 57.31/9.48
% 57.31/9.48 % (975)Memory used [KB]: 8059
% 57.31/9.48 % (975)Time elapsed: 0.469 s
% 57.31/9.48 % (975)Instructions burned: 1494 (million)
% 57.31/9.48 % (975)------------------------------
% 57.31/9.48 % (975)------------------------------
% 57.31/9.48 % (977)Instruction limit reached!
% 57.31/9.48 % (977)------------------------------
% 57.31/9.48 % (977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.31/9.48 % (977)Termination reason: Unknown
% 57.31/9.48 % (977)Termination phase: Saturation
% 57.31/9.48
% 57.31/9.48 % (977)Memory used [KB]: 7036
% 57.31/9.48 % (977)Time elapsed: 0.108 s
% 57.31/9.48 % (977)Instructions burned: 341 (million)
% 57.31/9.48 % (977)------------------------------
% 57.31/9.48 % (977)------------------------------
% 57.31/9.49 % (979)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_334 for (2918ds/1535Mi)
% 57.31/9.49 % (980)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_334 for (2918ds/4637Mi)
% 58.27/9.54 % (868)Instruction limit reached!
% 58.27/9.54 % (868)------------------------------
% 58.27/9.54 % (868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.27/9.54 % (868)Termination reason: Unknown
% 58.27/9.54 % (868)Termination phase: Saturation
% 58.27/9.54
% 58.27/9.54 % (868)Memory used [KB]: 14072
% 58.27/9.54 % (868)Time elapsed: 1.985 s
% 58.27/9.54 % (868)Instructions burned: 6454 (million)
% 58.27/9.54 % (868)------------------------------
% 58.27/9.54 % (868)------------------------------
% 58.27/9.55 % (981)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_334 for (2917ds/3174Mi)
% 58.73/9.77 % (966)Instruction limit reached!
% 58.73/9.77 % (966)------------------------------
% 58.73/9.77 % (966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.73/9.77 % (966)Termination reason: Unknown
% 58.73/9.77 % (966)Termination phase: Saturation
% 58.73/9.77
% 58.73/9.77 % (966)Memory used [KB]: 8443
% 58.73/9.77 % (966)Time elapsed: 1.474 s
% 58.73/9.77 % (966)Instructions burned: 5061 (million)
% 58.73/9.77 % (966)------------------------------
% 58.73/9.77 % (966)------------------------------
% 58.73/9.78 % (982)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_334 for (2915ds/307Mi)
% 58.90/9.88 % (982)Instruction limit reached!
% 58.90/9.88 % (982)------------------------------
% 58.90/9.88 % (982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.90/9.88 % (982)Termination reason: Unknown
% 58.90/9.88 % (982)Termination phase: Saturation
% 58.90/9.88
% 58.90/9.88 % (982)Memory used [KB]: 6140
% 58.90/9.88 % (982)Time elapsed: 0.117 s
% 58.90/9.88 % (982)Instructions burned: 309 (million)
% 58.90/9.88 % (982)------------------------------
% 58.90/9.88 % (982)------------------------------
% 58.90/9.89 % (983)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_334 for (2914ds/3619Mi)
% 59.11/9.93 % (979)Instruction limit reached!
% 59.11/9.93 % (979)------------------------------
% 59.11/9.93 % (979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 59.11/9.93 % (979)Termination reason: Unknown
% 59.11/9.93 % (979)Termination phase: Saturation
% 59.11/9.93
% 59.11/9.93 % (979)Memory used [KB]: 9850
% 59.11/9.93 % (979)Time elapsed: 0.449 s
% 59.11/9.93 % (979)Instructions burned: 1535 (million)
% 59.11/9.93 % (979)------------------------------
% 59.11/9.93 % (979)------------------------------
% 59.11/9.94 % (984)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_334 for (2913ds/2325Mi)
% 62.46/10.04 % (968)Instruction limit reached!
% 62.46/10.04 % (968)------------------------------
% 62.46/10.04 % (968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.46/10.04 % (968)Termination reason: Unknown
% 62.46/10.04 % (968)Termination phase: Saturation
% 62.46/10.04
% 62.46/10.04 % (968)Memory used [KB]: 7675
% 62.46/10.04 % (968)Time elapsed: 1.726 s
% 62.46/10.04 % (968)Instructions burned: 5799 (million)
% 62.46/10.04 % (968)------------------------------
% 62.46/10.04 % (968)------------------------------
% 62.46/10.05 % (985)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_334 for (2912ds/2341Mi)
% 65.38/10.50 % (981)Instruction limit reached!
% 65.38/10.50 % (981)------------------------------
% 65.38/10.50 % (981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.38/10.50 % (981)Termination reason: Unknown
% 65.38/10.50 % (981)Termination phase: Saturation
% 65.38/10.50
% 65.38/10.50 % (981)Memory used [KB]: 12281
% 65.38/10.50 % (981)Time elapsed: 0.952 s
% 65.38/10.50 % (981)Instructions burned: 3175 (million)
% 65.38/10.50 % (981)------------------------------
% 65.38/10.50 % (981)------------------------------
% 65.38/10.51 % (986)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_334 for (2907ds/7257Mi)
% 65.38/10.55 % (978)Instruction limit reached!
% 65.38/10.55 % (978)------------------------------
% 65.38/10.55 % (978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.38/10.55 % (978)Termination reason: Unknown
% 65.38/10.55 % (978)Termination phase: Saturation
% 65.38/10.55
% 65.38/10.55 % (978)Memory used [KB]: 9722
% 65.38/10.55 % (978)Time elapsed: 1.107 s
% 65.38/10.55 % (978)Instructions burned: 3673 (million)
% 65.38/10.55 % (978)------------------------------
% 65.38/10.55 % (978)------------------------------
% 65.38/10.56 % (987)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_334 for (2907ds/3710Mi)
% 65.85/10.65 % (984)Instruction limit reached!
% 65.85/10.65 % (984)------------------------------
% 65.85/10.65 % (984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.85/10.65 % (984)Termination reason: Unknown
% 65.85/10.65 % (984)Termination phase: Saturation
% 65.85/10.65
% 65.85/10.65 % (984)Memory used [KB]: 9850
% 65.85/10.65 % (984)Time elapsed: 0.733 s
% 65.85/10.65 % (984)Instructions burned: 2326 (million)
% 65.85/10.65 % (984)------------------------------
% 65.85/10.65 % (984)------------------------------
% 65.85/10.66 % (988)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_334 for (2906ds/326Mi)
% 66.23/10.74 % (985)Instruction limit reached!
% 66.23/10.74 % (985)------------------------------
% 66.23/10.74 % (985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.23/10.74 % (985)Termination reason: Unknown
% 66.23/10.74 % (985)Termination phase: Saturation
% 66.23/10.74
% 66.23/10.74 % (985)Memory used [KB]: 8827
% 66.23/10.74 % (985)Time elapsed: 0.695 s
% 66.23/10.74 % (985)Instructions burned: 2341 (million)
% 66.23/10.74 % (985)------------------------------
% 66.23/10.74 % (985)------------------------------
% 66.23/10.75 % (991)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_334 for (2905ds/1100Mi)
% 66.23/10.77 % (988)Instruction limit reached!
% 66.23/10.77 % (988)------------------------------
% 66.23/10.77 % (988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 66.23/10.77 % (988)Termination reason: Unknown
% 66.23/10.77 % (988)Termination phase: Saturation
% 66.23/10.77
% 66.23/10.77 % (988)Memory used [KB]: 7036
% 66.23/10.77 % (988)Time elapsed: 0.103 s
% 66.23/10.77 % (988)Instructions burned: 329 (million)
% 66.23/10.77 % (988)------------------------------
% 66.23/10.77 % (988)------------------------------
% 66.23/10.77 % (992)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_334 for (2905ds/406Mi)
% 67.34/10.86 % (980)Instruction limit reached!
% 67.34/10.86 % (980)------------------------------
% 67.34/10.86 % (980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.34/10.86 % (980)Termination reason: Unknown
% 67.34/10.86 % (980)Termination phase: Saturation
% 67.34/10.86
% 67.34/10.86 % (980)Memory used [KB]: 10490
% 67.34/10.86 % (980)Time elapsed: 1.363 s
% 67.34/10.86 % (980)Instructions burned: 4639 (million)
% 67.34/10.86 % (980)------------------------------
% 67.34/10.86 % (980)------------------------------
% 67.34/10.87 % (993)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_334 for (2904ds/1871Mi)
% 67.60/10.90 % (992)Refutation not found, non-redundant clauses discarded% (992)------------------------------
% 67.60/10.90 % (992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.60/10.90 % (992)Termination reason: Refutation not found, non-redundant clauses discarded
% 67.60/10.90
% 67.60/10.90 % (992)Memory used [KB]: 7291
% 67.60/10.90 % (992)Time elapsed: 0.127 s
% 67.60/10.90 % (992)Instructions burned: 397 (million)
% 67.60/10.90 % (992)------------------------------
% 67.60/10.90 % (992)------------------------------
% 67.60/10.91 % (994)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_334 for (2903ds/1194Mi)
% 67.60/10.93 % (983)Instruction limit reached!
% 67.60/10.93 % (983)------------------------------
% 67.60/10.93 % (983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 67.60/10.93 % (983)Termination reason: Unknown
% 67.60/10.93 % (983)Termination phase: Saturation
% 67.60/10.93
% 67.60/10.93 % (983)Memory used [KB]: 12025
% 67.60/10.93 % (983)Time elapsed: 1.060 s
% 67.60/10.93 % (983)Instructions burned: 3619 (million)
% 67.60/10.93 % (983)------------------------------
% 67.60/10.93 % (983)------------------------------
% 67.60/10.94 % (995)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_334 for (2903ds/474Mi)
% 69.46/11.09 % (995)Instruction limit reached!
% 69.46/11.09 % (995)------------------------------
% 69.46/11.09 % (995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.46/11.09 % (995)Termination reason: Unknown
% 69.46/11.09 % (995)Termination phase: Saturation
% 69.46/11.09
% 69.46/11.09 % (995)Memory used [KB]: 6652
% 69.46/11.09 % (995)Time elapsed: 0.154 s
% 69.46/11.09 % (995)Instructions burned: 475 (million)
% 69.46/11.09 % (995)------------------------------
% 69.46/11.09 % (995)------------------------------
% 69.46/11.10 % (991)Instruction limit reached!
% 69.46/11.10 % (991)------------------------------
% 69.46/11.10 % (991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.46/11.10 % (991)Termination reason: Unknown
% 69.46/11.10 % (991)Termination phase: Saturation
% 69.46/11.10
% 69.46/11.10 % (991)Memory used [KB]: 7931
% 69.46/11.10 % (991)Time elapsed: 0.344 s
% 69.46/11.10 % (991)Instructions burned: 1103 (million)
% 69.46/11.10 % (991)------------------------------
% 69.46/11.10 % (991)------------------------------
% 69.46/11.10 % (996)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_334 for (2902ds/3115Mi)
% 69.46/11.11 % (997)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_334 for (2902ds/831Mi)
% 70.18/11.15 % (976)Instruction limit reached!
% 70.18/11.15 % (976)------------------------------
% 70.18/11.15 % (976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.18/11.15 % (976)Termination reason: Unknown
% 70.18/11.15 % (976)Termination phase: Saturation
% 70.18/11.15
% 70.18/11.15 % (976)Memory used [KB]: 19829
% 70.18/11.15 % (976)Time elapsed: 2.138 s
% 70.18/11.15 % (976)Instructions burned: 7682 (million)
% 70.18/11.15 % (976)------------------------------
% 70.18/11.15 % (976)------------------------------
% 70.18/11.16 % (998)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_334 for (2901ds/1188Mi)
% 70.53/11.27 % (994)Instruction limit reached!
% 70.53/11.27 % (994)------------------------------
% 70.53/11.27 % (994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.53/11.27 % (994)Termination reason: Unknown
% 70.53/11.27 % (994)Termination phase: Saturation
% 70.53/11.27
% 70.53/11.27 % (994)Memory used [KB]: 7291
% 70.53/11.27 % (994)Time elapsed: 0.359 s
% 70.53/11.27 % (994)Instructions burned: 1194 (million)
% 70.53/11.27 % (994)------------------------------
% 70.53/11.27 % (994)------------------------------
% 70.53/11.28 % (999)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_334 for (2900ds/2868Mi)
% 70.90/11.36 % (997)Instruction limit reached!
% 70.90/11.36 % (997)------------------------------
% 70.90/11.36 % (997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.90/11.36 % (997)Termination reason: Unknown
% 70.90/11.36 % (997)Termination phase: Saturation
% 70.90/11.36
% 70.90/11.36 % (997)Memory used [KB]: 8315
% 70.90/11.36 % (997)Time elapsed: 0.277 s
% 70.90/11.36 % (997)Instructions burned: 834 (million)
% 70.90/11.36 % (997)------------------------------
% 70.90/11.36 % (997)------------------------------
% 70.90/11.37 % (1000)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_334 for (2899ds/1516Mi)
% 71.47/11.44 % (993)Instruction limit reached!
% 71.47/11.44 % (993)------------------------------
% 71.47/11.44 % (993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.47/11.44 % (993)Termination reason: Unknown
% 71.47/11.44 % (993)Termination phase: Saturation
% 71.47/11.44
% 71.47/11.44 % (993)Memory used [KB]: 9338
% 71.47/11.44 % (993)Time elapsed: 0.577 s
% 71.47/11.44 % (993)Instructions burned: 1871 (million)
% 71.47/11.44 % (993)------------------------------
% 71.47/11.44 % (993)------------------------------
% 71.47/11.45 % (1001)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_334 for (2898ds/2321Mi)
% 71.47/11.48 % (1001)Refutation not found, incomplete strategy
% 71.47/11.48 % (1001)------------------------------
% 71.47/11.48 % (1001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.47/11.48 % (1001)Termination reason: Refutation not found, incomplete strategy
% 71.47/11.48
% 71.47/11.48
% 71.47/11.48 % (1001)Memory used [KB]: 5884
% 71.47/11.48 % (1001)Time elapsed: 0.031 s
% 71.47/11.48 % (1001)Instructions burned: 89 (million)
% 71.47/11.48 % (1001)------------------------------
% 71.47/11.48 % (1001)------------------------------
% 71.47/11.49 % (1002)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_334 for (2898ds/2812Mi)
% 71.77/11.51 % (998)Instruction limit reached!
% 71.77/11.51 % (998)------------------------------
% 71.77/11.51 % (998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.77/11.51 % (998)Termination reason: Unknown
% 71.77/11.51 % (998)Termination phase: Saturation
% 71.77/11.51
% 71.77/11.51 % (998)Memory used [KB]: 10106
% 71.77/11.51 % (998)Time elapsed: 0.372 s
% 71.77/11.51 % (998)Instructions burned: 1190 (million)
% 71.77/11.51 % (998)------------------------------
% 71.77/11.51 % (998)------------------------------
% 71.77/11.52 % (1003)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_334 for (2897ds/4604Mi)
% 72.32/11.67 % (987)Instruction limit reached!
% 72.32/11.67 % (987)------------------------------
% 72.32/11.67 % (987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.32/11.67 % (987)Termination reason: Unknown
% 72.32/11.67 % (987)Termination phase: Saturation
% 72.32/11.67
% 72.32/11.67 % (987)Memory used [KB]: 14456
% 72.32/11.67 % (987)Time elapsed: 1.108 s
% 72.32/11.67 % (987)Instructions burned: 3710 (million)
% 72.32/11.67 % (987)------------------------------
% 72.32/11.67 % (987)------------------------------
% 72.32/11.68 % (1004)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_334 for (2896ds/2678Mi)
% 72.61/11.83 % (1000)Instruction limit reached!
% 72.61/11.83 % (1000)------------------------------
% 72.61/11.83 % (1000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.61/11.83 % (1000)Termination reason: Unknown
% 72.61/11.83 % (1000)Termination phase: Saturation
% 72.61/11.83
% 72.61/11.83 % (1000)Memory used [KB]: 9210
% 72.61/11.83 % (1000)Time elapsed: 0.462 s
% 72.61/11.83 % (1000)Instructions burned: 1518 (million)
% 72.61/11.83 % (1000)------------------------------
% 72.61/11.83 % (1000)------------------------------
% 72.61/11.84 % (1005)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_334 for (2894ds/643Mi)
% 73.20/12.00 % (996)Instruction limit reached!
% 73.20/12.00 % (996)------------------------------
% 73.20/12.00 % (996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 73.20/12.00 % (996)Termination reason: Unknown
% 73.20/12.00 % (996)Termination phase: Saturation
% 73.20/12.00
% 73.20/12.00 % (996)Memory used [KB]: 8443
% 73.20/12.00 % (996)Time elapsed: 0.925 s
% 73.20/12.00 % (996)Instructions burned: 3116 (million)
% 73.20/12.00 % (996)------------------------------
% 73.20/12.00 % (996)------------------------------
% 73.20/12.01 % (1006)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_334 for (2892ds/458Mi)
% 76.50/12.04 % (1005)Instruction limit reached!
% 76.50/12.04 % (1005)------------------------------
% 76.50/12.04 % (1005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 76.50/12.04 % (1005)Termination reason: Unknown
% 76.50/12.04 % (1005)Termination phase: Saturation
% 76.50/12.04
% 76.50/12.04 % (1005)Memory used [KB]: 6268
% 76.50/12.04 % (1005)Time elapsed: 0.197 s
% 76.50/12.04 % (1005)Instructions burned: 643 (million)
% 76.50/12.04 % (1005)------------------------------
% 76.50/12.04 % (1005)------------------------------
% 76.50/12.05 % (1007)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_334 for (2892ds/2546Mi)
% 77.06/12.16 % (999)Instruction limit reached!
% 77.06/12.16 % (999)------------------------------
% 77.06/12.16 % (999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.06/12.16 % (999)Termination reason: Unknown
% 77.06/12.16 % (999)Termination phase: Saturation
% 77.06/12.16
% 77.06/12.16 % (999)Memory used [KB]: 8699
% 77.06/12.16 % (999)Time elapsed: 0.878 s
% 77.06/12.16 % (999)Instructions burned: 2869 (million)
% 77.06/12.16 % (999)------------------------------
% 77.06/12.16 % (999)------------------------------
% 77.06/12.16 % (1006)Instruction limit reached!
% 77.06/12.16 % (1006)------------------------------
% 77.06/12.16 % (1006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.06/12.16 % (1006)Termination reason: Unknown
% 77.06/12.16 % (1006)Termination phase: Saturation
% 77.06/12.16
% 77.06/12.16 % (1006)Memory used [KB]: 5884
% 77.06/12.16 % (1006)Time elapsed: 0.147 s
% 77.06/12.16 % (1006)Instructions burned: 460 (million)
% 77.06/12.16 % (1006)------------------------------
% 77.06/12.16 % (1006)------------------------------
% 77.06/12.17 % (1008)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_334 for (2891ds/1432Mi)
% 77.06/12.17 % (1009)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_334 for (2891ds/386Mi)
% 77.57/12.29 % (1009)Instruction limit reached!
% 77.57/12.29 % (1009)------------------------------
% 77.57/12.29 % (1009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.57/12.29 % (1009)Termination reason: Unknown
% 77.57/12.29 % (1009)Termination phase: Saturation
% 77.57/12.29
% 77.57/12.29 % (1009)Memory used [KB]: 6780
% 77.57/12.29 % (1009)Time elapsed: 0.127 s
% 77.57/12.29 % (1009)Instructions burned: 388 (million)
% 77.57/12.29 % (1009)------------------------------
% 77.57/12.29 % (1009)------------------------------
% 78.09/12.30 % (1010)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_334 for (2890ds/360Mi)
% 78.09/12.37 % (1002)Instruction limit reached!
% 78.09/12.37 % (1002)------------------------------
% 78.09/12.37 % (1002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.09/12.37 % (1002)Termination reason: Unknown
% 78.09/12.37 % (1002)Termination phase: Saturation
% 78.09/12.37
% 78.09/12.37 % (1002)Memory used [KB]: 11257
% 78.09/12.37 % (1002)Time elapsed: 0.882 s
% 78.09/12.37 % (1002)Instructions burned: 2814 (million)
% 78.09/12.37 % (1002)------------------------------
% 78.09/12.37 % (1002)------------------------------
% 78.09/12.38 % (1011)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_334 for (2889ds/5446Mi)
% 78.49/12.41 % (1010)Instruction limit reached!
% 78.49/12.41 % (1010)------------------------------
% 78.49/12.41 % (1010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.49/12.41 % (1010)Termination reason: Unknown
% 78.49/12.41 % (1010)Termination phase: Saturation
% 78.49/12.41
% 78.49/12.41 % (1010)Memory used [KB]: 6780
% 78.49/12.41 % (1010)Time elapsed: 0.113 s
% 78.49/12.41 % (1010)Instructions burned: 362 (million)
% 78.49/12.41 % (1010)------------------------------
% 78.49/12.41 % (1010)------------------------------
% 78.49/12.42 % (1014)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_334 for (2888ds/2573Mi)
% 78.49/12.47 % (1008)Instruction limit reached!
% 78.49/12.47 % (1008)------------------------------
% 78.49/12.47 % (1008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.49/12.47 % (1008)Termination reason: Unknown
% 78.49/12.47 % (1008)Termination phase: Saturation
% 78.49/12.47
% 78.49/12.47 % (1008)Memory used [KB]: 6908
% 78.49/12.47 % (1008)Time elapsed: 0.309 s
% 78.49/12.47 % (1008)Instructions burned: 1435 (million)
% 78.49/12.47 % (1008)------------------------------
% 78.49/12.47 % (1008)------------------------------
% 78.49/12.48 % (1016)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on DTF2THF_334 for (2888ds/2655Mi)
% 79.23/12.50 % (1004)Instruction limit reached!
% 79.23/12.50 % (1004)------------------------------
% 79.23/12.50 % (1004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.23/12.50 % (1004)Termination reason: Unknown
% 79.23/12.50 % (1004)Termination phase: Saturation
% 79.23/12.50
% 79.23/12.50 % (1004)Memory used [KB]: 7931
% 79.23/12.50 % (1004)Time elapsed: 0.822 s
% 79.23/12.50 % (1004)Instructions burned: 2679 (million)
% 79.23/12.50 % (1004)------------------------------
% 79.23/12.50 % (1004)------------------------------
% 79.23/12.51 % (1018)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_334 for (2888ds/2781Mi)
% 79.44/12.66 % (986)Instruction limit reached!
% 79.44/12.66 % (986)------------------------------
% 79.44/12.66 % (986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.44/12.66 % (986)Termination reason: Unknown
% 79.44/12.66 % (986)Termination phase: Saturation
% 79.44/12.66
% 79.44/12.66 % (986)Memory used [KB]: 17526
% 79.44/12.66 % (986)Time elapsed: 2.156 s
% 79.44/12.66 % (986)Instructions burned: 7259 (million)
% 79.44/12.66 % (986)------------------------------
% 79.44/12.66 % (986)------------------------------
% 79.44/12.67 % (1021)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_334 for (2886ds/307Mi)
% 79.62/12.77 % (1021)Instruction limit reached!
% 79.62/12.77 % (1021)------------------------------
% 79.62/12.77 % (1021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.62/12.77 % (1021)Termination reason: Unknown
% 79.62/12.77 % (1021)Termination phase: Saturation
% 79.62/12.77
% 79.62/12.77 % (1021)Memory used [KB]: 6140
% 79.62/12.77 % (1021)Time elapsed: 0.097 s
% 79.62/12.77 % (1021)Instructions burned: 308 (million)
% 79.62/12.77 % (1021)------------------------------
% 79.62/12.77 % (1021)------------------------------
% 79.62/12.78 % (1022)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_334 for (2885ds/1548Mi)
% 79.84/12.85 % (1007)Instruction limit reached!
% 79.84/12.85 % (1007)------------------------------
% 79.84/12.85 % (1007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.84/12.85 % (1007)Termination reason: Unknown
% 79.84/12.85 % (1007)Termination phase: Saturation
% 79.84/12.85
% 79.84/12.85 % (1007)Memory used [KB]: 10362
% 79.84/12.85 % (1007)Time elapsed: 0.806 s
% 79.84/12.85 % (1007)Instructions burned: 2546 (million)
% 79.84/12.85 % (1007)------------------------------
% 79.84/12.85 % (1007)------------------------------
% 79.84/12.86 % (1023)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_334 for (2884ds/5214Mi)
% 79.84/12.88 % (1003)Instruction limit reached!
% 79.84/12.88 % (1003)------------------------------
% 79.84/12.88 % (1003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.84/12.88 % (1003)Termination reason: Unknown
% 79.84/12.88 % (1003)Termination phase: Saturation
% 79.84/12.88
% 79.84/12.88 % (1003)Memory used [KB]: 12665
% 79.84/12.88 % (1003)Time elapsed: 1.357 s
% 79.84/12.88 % (1003)Instructions burned: 4606 (million)
% 79.84/12.88 % (1003)------------------------------
% 79.84/12.88 % (1003)------------------------------
% 79.84/12.89 % (1024)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_334 for (2884ds/3201Mi)
% 84.81/13.22 % (1014)Instruction limit reached!
% 84.81/13.22 % (1014)------------------------------
% 84.81/13.22 % (1014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.81/13.22 % (1014)Termination reason: Unknown
% 84.81/13.22 % (1014)Termination phase: Saturation
% 84.81/13.22
% 84.81/13.22 % (1014)Memory used [KB]: 9850
% 84.81/13.22 % (1014)Time elapsed: 0.794 s
% 84.81/13.22 % (1014)Instructions burned: 2574 (million)
% 84.81/13.22 % (1014)------------------------------
% 84.81/13.22 % (1014)------------------------------
% 84.81/13.23 % (1025)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_334 for (2880ds/454Mi)
% 84.81/13.24 % (1016)Instruction limit reached!
% 84.81/13.24 % (1016)------------------------------
% 84.81/13.24 % (1016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.81/13.24 % (1016)Termination reason: Unknown
% 84.81/13.24 % (1016)Termination phase: Saturation
% 84.81/13.24
% 84.81/13.24 % (1016)Memory used [KB]: 19317
% 84.81/13.24 % (1016)Time elapsed: 0.754 s
% 84.81/13.24 % (1016)Instructions burned: 2656 (million)
% 84.81/13.24 % (1016)------------------------------
% 84.81/13.24 % (1016)------------------------------
% 84.81/13.25 % (1026)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_334 for (2880ds/3049Mi)
% 84.81/13.25 % (1022)Instruction limit reached!
% 84.81/13.25 % (1022)------------------------------
% 84.81/13.25 % (1022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.81/13.25 % (1022)Termination reason: Unknown
% 84.81/13.25 % (1022)Termination phase: Saturation
% 84.81/13.25
% 84.81/13.25 % (1022)Memory used [KB]: 9722
% 84.81/13.25 % (1022)Time elapsed: 0.474 s
% 84.81/13.25 % (1022)Instructions burned: 1551 (million)
% 84.81/13.25 % (1022)------------------------------
% 84.81/13.25 % (1022)------------------------------
% 84.81/13.26 % (1027)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_334 for (2880ds/7311Mi)
% 85.37/13.36 % (1018)Instruction limit reached!
% 85.37/13.36 % (1018)------------------------------
% 85.37/13.36 % (1018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.37/13.36 % (1018)Termination reason: Unknown
% 85.37/13.36 % (1018)Termination phase: Saturation
% 85.37/13.36
% 85.37/13.36 % (1018)Memory used [KB]: 2558
% 85.37/13.36 % (1018)Time elapsed: 0.846 s
% 85.37/13.36 % (1018)Instructions burned: 2783 (million)
% 85.37/13.36 % (1018)------------------------------
% 85.37/13.36 % (1018)------------------------------
% 85.37/13.37 % (1028)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_334 for (2879ds/6804Mi)
% 85.37/13.37 % (1025)Instruction limit reached!
% 85.37/13.37 % (1025)------------------------------
% 85.37/13.37 % (1025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.37/13.37 % (1025)Termination reason: Unknown
% 85.37/13.37 % (1025)Termination phase: Saturation
% 85.37/13.37
% 85.37/13.37 % (1025)Memory used [KB]: 10746
% 85.37/13.37 % (1025)Time elapsed: 0.141 s
% 85.37/13.37 % (1025)Instructions burned: 455 (million)
% 85.37/13.37 % (1025)------------------------------
% 85.37/13.37 % (1025)------------------------------
% 85.37/13.38 % (1029)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_334 for (2879ds/1683Mi)
% 87.06/13.84 % (1024)Instruction limit reached!
% 87.06/13.84 % (1024)------------------------------
% 87.06/13.84 % (1024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.06/13.84 % (1024)Termination reason: Unknown
% 87.06/13.84 % (1024)Termination phase: Saturation
% 87.06/13.84
% 87.06/13.84 % (1024)Memory used [KB]: 12920
% 87.06/13.84 % (1024)Time elapsed: 0.949 s
% 87.06/13.84 % (1024)Instructions burned: 3201 (million)
% 87.06/13.84 % (1024)------------------------------
% 87.06/13.84 % (1024)------------------------------
% 87.06/13.85 % (1030)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_334 for (2874ds/4688Mi)
% 87.06/13.88 % (1029)Instruction limit reached!
% 87.06/13.88 % (1029)------------------------------
% 87.06/13.88 % (1029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.06/13.88 % (1029)Termination reason: Unknown
% 87.06/13.88 % (1029)Termination phase: Saturation
% 87.06/13.88
% 87.06/13.88 % (1029)Memory used [KB]: 7803
% 87.06/13.88 % (1029)Time elapsed: 0.503 s
% 87.06/13.88 % (1029)Instructions burned: 1683 (million)
% 87.06/13.88 % (1029)------------------------------
% 87.06/13.88 % (1029)------------------------------
% 87.06/13.89 % (1036)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_334 for (2874ds/2207Mi)
% 87.83/13.93 % (1011)Instruction limit reached!
% 87.83/13.93 % (1011)------------------------------
% 87.83/13.93 % (1011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 87.83/13.93 % (1011)Termination reason: Unknown
% 87.83/13.93 % (1011)Termination phase: Saturation
% 87.83/13.93
% 87.83/13.93 % (1011)Memory used [KB]: 13048
% 87.83/13.93 % (1011)Time elapsed: 1.551 s
% 87.83/13.93 % (1011)Instructions burned: 5448 (million)
% 87.83/13.93 % (1011)------------------------------
% 87.83/13.93 % (1011)------------------------------
% 87.83/13.94 % (1037)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=8216:si=on:rtra=on_0 on DTF2THF_334 for (2873ds/8216Mi)
% 91.31/14.19 % (1026)Instruction limit reached!
% 91.31/14.19 % (1026)------------------------------
% 91.31/14.19 % (1026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.31/14.19 % (1026)Termination reason: Unknown
% 91.31/14.19 % (1026)Termination phase: Saturation
% 91.31/14.19
% 91.31/14.19 % (1026)Memory used [KB]: 8443
% 91.31/14.19 % (1026)Time elapsed: 0.939 s
% 91.31/14.19 % (1026)Instructions burned: 3051 (million)
% 91.31/14.19 % (1026)------------------------------
% 91.31/14.19 % (1026)------------------------------
% 91.31/14.20 % (1038)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_334 for (2871ds/430Mi)
% 92.40/14.33 % (1038)Instruction limit reached!
% 92.40/14.33 % (1038)------------------------------
% 92.40/14.33 % (1038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 92.40/14.33 % (1038)Termination reason: Unknown
% 92.40/14.33 % (1038)Termination phase: Saturation
% 92.40/14.33
% 92.40/14.33 % (1038)Memory used [KB]: 6140
% 92.40/14.33 % (1038)Time elapsed: 0.159 s
% 92.40/14.33 % (1038)Instructions burned: 430 (million)
% 92.40/14.33 % (1038)------------------------------
% 92.40/14.33 % (1038)------------------------------
% 92.40/14.34 % (1061)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_334 for (2869ds/2012Mi)
% 93.16/14.46 % (1023)Instruction limit reached!
% 93.16/14.46 % (1023)------------------------------
% 93.16/14.46 % (1023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.16/14.46 % (1023)Termination reason: Unknown
% 93.16/14.46 % (1023)Termination phase: Saturation
% 93.16/14.46
% 93.16/14.46 % (1023)Memory used [KB]: 14200
% 93.16/14.46 % (1023)Time elapsed: 1.596 s
% 93.16/14.46 % (1023)Instructions burned: 5216 (million)
% 93.16/14.46 % (1023)------------------------------
% 93.16/14.46 % (1023)------------------------------
% 93.16/14.47 % (1122)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_334 for (2868ds/631Mi)
% 93.74/14.56 % (1036)Instruction limit reached!
% 93.74/14.56 % (1036)------------------------------
% 93.74/14.56 % (1036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 93.74/14.56 % (1036)Termination reason: Unknown
% 93.74/14.56 % (1036)Termination phase: Saturation
% 93.74/14.56
% 93.74/14.56 % (1036)Memory used [KB]: 9722
% 93.74/14.56 % (1036)Time elapsed: 0.673 s
% 93.74/14.56 % (1036)Instructions burned: 2208 (million)
% 93.74/14.56 % (1036)------------------------------
% 93.74/14.56 % (1036)------------------------------
% 93.74/14.57 % (1165)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_334 for (2867ds/8785Mi)
% 94.20/14.66 % (1122)Instruction limit reached!
% 94.20/14.66 % (1122)------------------------------
% 94.20/14.66 % (1122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 94.20/14.66 % (1122)Termination reason: Unknown
% 94.20/14.66 % (1122)Termination phase: Saturation
% 94.20/14.66
% 94.20/14.66 % (1122)Memory used [KB]: 7547
% 94.20/14.66 % (1122)Time elapsed: 0.196 s
% 94.20/14.66 % (1122)Instructions burned: 631 (million)
% 94.20/14.66 % (1122)------------------------------
% 94.20/14.66 % (1122)------------------------------
% 94.20/14.67 % (1195)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_334 for (2866ds/739Mi)
% 95.62/14.91 % (1195)Instruction limit reached!
% 95.62/14.91 % (1195)------------------------------
% 95.62/14.91 % (1195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.62/14.91 % (1195)Termination reason: Unknown
% 95.62/14.91 % (1195)Termination phase: Saturation
% 95.62/14.91
% 95.62/14.91 % (1195)Memory used [KB]: 7419
% 95.62/14.91 % (1195)Time elapsed: 0.238 s
% 95.62/14.91 % (1195)Instructions burned: 741 (million)
% 95.62/14.91 % (1195)------------------------------
% 95.62/14.91 % (1195)------------------------------
% 95.62/14.92 % (1061)Instruction limit reached!
% 95.62/14.92 % (1061)------------------------------
% 95.62/14.92 % (1061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 95.62/14.92 % (1061)Termination reason: Unknown
% 95.62/14.92 % (1061)Termination phase: Saturation
% 95.62/14.92
% 95.62/14.92 % (1061)Memory used [KB]: 14072
% 95.62/14.92 % (1061)Time elapsed: 0.578 s
% 95.62/14.92 % (1061)Instructions burned: 2012 (million)
% 95.62/14.92 % (1061)------------------------------
% 95.62/14.92 % (1061)------------------------------
% 95.62/14.92 % (1287)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_334 for (2863ds/5473Mi)
% 95.62/14.93 % (1288)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_334 for (2863ds/43570Mi)
% 98.35/15.19 % (1030)Instruction limit reached!
% 98.35/15.19 % (1030)------------------------------
% 98.35/15.19 % (1030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.35/15.19 % (1030)Termination reason: Unknown
% 98.35/15.19 % (1030)Termination phase: Saturation
% 98.35/15.19
% 98.35/15.19 % (1030)Memory used [KB]: 3198
% 98.35/15.19 % (1030)Time elapsed: 1.341 s
% 98.35/15.19 % (1030)Instructions burned: 4690 (million)
% 98.35/15.19 % (1030)------------------------------
% 98.35/15.19 % (1030)------------------------------
% 98.35/15.20 % (1400)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_334 for (2861ds/8382Mi)
% 100.05/15.42 % (1027)Instruction limit reached!
% 100.05/15.42 % (1027)------------------------------
% 100.05/15.42 % (1027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.05/15.42 % (1027)Termination reason: Unknown
% 100.05/15.42 % (1027)Termination phase: Saturation
% 100.05/15.42
% 100.05/15.42 % (1027)Memory used [KB]: 17654
% 100.05/15.42 % (1027)Time elapsed: 2.157 s
% 100.05/15.42 % (1027)Instructions burned: 7311 (million)
% 100.05/15.42 % (1027)------------------------------
% 100.05/15.42 % (1027)------------------------------
% 100.05/15.44 % (1438)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_334 for (2858ds/407Mi)
% 100.05/15.46 % (1028)Refutation not found, non-redundant clauses discarded% (1028)------------------------------
% 100.05/15.46 % (1028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.05/15.46 % (1028)Termination reason: Refutation not found, non-redundant clauses discarded
% 100.05/15.46
% 100.05/15.46 % (1028)Memory used [KB]: 10234
% 100.05/15.46 % (1028)Time elapsed: 2.091 s
% 100.05/15.46 % (1028)Instructions burned: 6787 (million)
% 100.05/15.46 % (1028)------------------------------
% 100.05/15.46 % (1028)------------------------------
% 100.05/15.47 % (1439)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_334 for (2858ds/2971Mi)
% 100.94/15.63 % (1438)Instruction limit reached!
% 100.94/15.63 % (1438)------------------------------
% 100.94/15.63 % (1438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 100.94/15.63 % (1438)Termination reason: Unknown
% 100.94/15.63 % (1438)Termination phase: Saturation
% 100.94/15.63
% 100.94/15.63 % (1438)Memory used [KB]: 7419
% 100.94/15.63 % (1438)Time elapsed: 0.195 s
% 100.94/15.63 % (1438)Instructions burned: 408 (million)
% 100.94/15.63 % (1438)------------------------------
% 100.94/15.63 % (1438)------------------------------
% 100.94/15.65 % (1440)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_334 for (2856ds/9822Mi)
% 110.00/16.86 % (1439)Instruction limit reached!
% 110.00/16.86 % (1439)------------------------------
% 110.00/16.86 % (1439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 110.00/16.86 % (1439)Termination reason: Unknown
% 110.00/16.86 % (1439)Termination phase: Saturation
% 110.00/16.86
% 110.00/16.86 % (1439)Memory used [KB]: 10234
% 110.00/16.86 % (1439)Time elapsed: 1.397 s
% 110.00/16.86 % (1439)Instructions burned: 2971 (million)
% 110.00/16.86 % (1439)------------------------------
% 110.00/16.86 % (1439)------------------------------
% 110.00/16.88 % (1441)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_334 for (2844ds/8425Mi)
% 111.54/17.12 % (1037)Instruction limit reached!
% 111.54/17.12 % (1037)------------------------------
% 111.54/17.12 % (1037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.54/17.12 % (1037)Termination reason: Unknown
% 111.54/17.12 % (1037)Termination phase: Saturation
% 111.54/17.12
% 111.54/17.12 % (1037)Memory used [KB]: 14967
% 111.54/17.12 % (1037)Time elapsed: 3.181 s
% 111.54/17.12 % (1037)Instructions burned: 8217 (million)
% 111.54/17.12 % (1037)------------------------------
% 111.54/17.12 % (1037)------------------------------
% 112.31/17.14 % (1442)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_334 for (2841ds/3107Mi)
% 113.33/17.33 % (1287)Instruction limit reached!
% 113.33/17.33 % (1287)------------------------------
% 113.33/17.33 % (1287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.33/17.33 % (1287)Termination reason: Unknown
% 113.33/17.33 % (1287)Termination phase: Saturation
% 113.33/17.33
% 113.33/17.33 % (1287)Memory used [KB]: 13304
% 113.33/17.33 % (1287)Time elapsed: 2.412 s
% 113.33/17.33 % (1287)Instructions burned: 5473 (million)
% 113.33/17.33 % (1287)------------------------------
% 113.33/17.33 % (1287)------------------------------
% 113.33/17.35 % (1443)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_334 for (2839ds/7967Mi)
% 113.88/17.44 % (1443)Refutation not found, incomplete strategy
% 113.88/17.44 % (1443)------------------------------
% 113.88/17.44 % (1443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.88/17.44 % (1443)Termination reason: Refutation not found, incomplete strategy
% 113.88/17.44
% 113.88/17.44
% 113.88/17.44 % (1443)Memory used [KB]: 5884
% 113.88/17.44 % (1443)Time elapsed: 0.094 s
% 113.88/17.44 % (1443)Instructions burned: 183 (million)
% 113.88/17.44 % (1443)------------------------------
% 113.88/17.44 % (1443)------------------------------
% 113.88/17.46 % (1444)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_334 for (2838ds/3629Mi)
% 119.32/18.18 % (1165)Instruction limit reached!
% 119.32/18.18 % (1165)------------------------------
% 119.32/18.18 % (1165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 119.32/18.18 % (1165)Termination reason: Unknown
% 119.32/18.18 % (1165)Termination phase: Saturation
% 119.32/18.18
% 119.32/18.18 % (1165)Memory used [KB]: 12792
% 119.32/18.18 % (1165)Time elapsed: 3.609 s
% 119.32/18.18 % (1165)Instructions burned: 8786 (million)
% 119.32/18.18 % (1165)------------------------------
% 119.32/18.18 % (1165)------------------------------
% 119.32/18.20 % (1445)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_334 for (2831ds/939Mi)
% 122.17/18.66 % (1445)Instruction limit reached!
% 122.17/18.66 % (1445)------------------------------
% 122.17/18.66 % (1445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.17/18.66 % (1445)Termination reason: Unknown
% 122.17/18.66 % (1445)Termination phase: Saturation
% 122.17/18.66
% 122.17/18.66 % (1445)Memory used [KB]: 8315
% 122.17/18.66 % (1445)Time elapsed: 0.466 s
% 122.17/18.66 % (1445)Instructions burned: 940 (million)
% 122.17/18.66 % (1445)------------------------------
% 122.17/18.66 % (1445)------------------------------
% 122.17/18.68 % (1446)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_334 for (2826ds/1188Mi)
% 122.17/18.68 % (1442)Instruction limit reached!
% 122.17/18.68 % (1442)------------------------------
% 122.17/18.68 % (1442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.17/18.68 % (1442)Termination reason: Unknown
% 122.17/18.68 % (1442)Termination phase: Saturation
% 122.17/18.68
% 122.17/18.68 % (1442)Memory used [KB]: 10106
% 122.17/18.68 % (1442)Time elapsed: 1.539 s
% 122.17/18.68 % (1442)Instructions burned: 3108 (million)
% 122.17/18.68 % (1442)------------------------------
% 122.17/18.68 % (1442)------------------------------
% 122.17/18.70 % (1447)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on DTF2THF_334 for (2826ds/3205Mi)
% 126.79/19.22 % (1444)Instruction limit reached!
% 126.79/19.22 % (1444)------------------------------
% 126.79/19.22 % (1444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 126.79/19.22 % (1444)Termination reason: Unknown
% 126.79/19.22 % (1444)Termination phase: Saturation
% 126.79/19.22
% 126.79/19.22 % (1444)Memory used [KB]: 11769
% 126.79/19.22 % (1444)Time elapsed: 1.763 s
% 126.79/19.22 % (1444)Instructions burned: 3630 (million)
% 126.79/19.22 % (1444)------------------------------
% 126.79/19.22 % (1444)------------------------------
% 126.79/19.23 % (1446)Instruction limit reached!
% 126.79/19.23 % (1446)------------------------------
% 126.79/19.23 % (1446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 126.79/19.23 % (1446)Termination reason: Unknown
% 126.79/19.23 % (1446)Termination phase: Saturation
% 126.79/19.23
% 126.79/19.23 % (1446)Memory used [KB]: 11001
% 126.79/19.23 % (1446)Time elapsed: 0.555 s
% 126.79/19.23 % (1446)Instructions burned: 1189 (million)
% 126.79/19.23 % (1446)------------------------------
% 126.79/19.23 % (1446)------------------------------
% 126.79/19.24 % (1448)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_334 for (2820ds/865Mi)
% 126.79/19.25 % (1449)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on DTF2THF_334 for (2820ds/7469Mi)
% 126.79/19.26 % (1400)Instruction limit reached!
% 126.79/19.26 % (1400)------------------------------
% 126.79/19.26 % (1400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 126.79/19.26 % (1400)Termination reason: Unknown
% 126.79/19.26 % (1400)Termination phase: Saturation
% 126.79/19.26
% 126.79/19.26 % (1400)Memory used [KB]: 14711
% 126.79/19.26 % (1400)Time elapsed: 4.061 s
% 126.79/19.26 % (1400)Instructions burned: 8382 (million)
% 126.79/19.26 % (1400)------------------------------
% 126.79/19.26 % (1400)------------------------------
% 126.79/19.27 % (1450)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on DTF2THF_334 for (2820ds/4165Mi)
% 128.52/19.66 % (1448)Instruction limit reached!
% 128.52/19.66 % (1448)------------------------------
% 128.52/19.66 % (1448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 128.52/19.66 % (1448)Termination reason: Unknown
% 128.52/19.66 % (1448)Termination phase: Saturation
% 128.52/19.66
% 128.52/19.66 % (1448)Memory used [KB]: 8955
% 128.52/19.66 % (1448)Time elapsed: 0.423 s
% 128.52/19.66 % (1448)Instructions burned: 865 (million)
% 128.52/19.66 % (1448)------------------------------
% 128.52/19.66 % (1448)------------------------------
% 128.52/19.67 % (1451)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on DTF2THF_334 for (2816ds/13468Mi)
% 133.28/20.15 % (1447)Instruction limit reached!
% 133.28/20.15 % (1447)------------------------------
% 133.28/20.15 % (1447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 133.28/20.15 % (1447)Termination reason: Unknown
% 133.28/20.15 % (1447)Termination phase: Saturation
% 133.28/20.15
% 133.28/20.15 % (1447)Memory used [KB]: 12025
% 133.28/20.15 % (1447)Time elapsed: 1.451 s
% 133.28/20.15 % (1447)Instructions burned: 3206 (million)
% 133.28/20.15 % (1447)------------------------------
% 133.28/20.15 % (1447)------------------------------
% 133.28/20.16 % (1452)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on DTF2THF_334 for (2811ds/2635Mi)
% 133.71/20.22 % (1440)Instruction limit reached!
% 133.71/20.22 % (1440)------------------------------
% 133.71/20.22 % (1440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 133.71/20.22 % (1440)Termination reason: Unknown
% 133.71/20.22 % (1440)Termination phase: Saturation
% 133.71/20.22
% 133.71/20.22 % (1440)Memory used [KB]: 17910
% 133.71/20.22 % (1440)Time elapsed: 4.569 s
% 133.71/20.22 % (1440)Instructions burned: 9822 (million)
% 133.71/20.22 % (1440)------------------------------
% 133.71/20.22 % (1440)------------------------------
% 133.71/20.23 % (1453)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on DTF2THF_334 for (2810ds/631Mi)
% 135.25/20.54 % (1453)Instruction limit reached!
% 135.25/20.54 % (1453)------------------------------
% 135.25/20.54 % (1453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 135.25/20.54 % (1453)Termination reason: Unknown
% 135.25/20.54 % (1453)Termination phase: Saturation
% 135.25/20.54
% 135.25/20.54 % (1453)Memory used [KB]: 6268
% 135.25/20.54 % (1453)Time elapsed: 0.305 s
% 135.25/20.54 % (1453)Instructions burned: 632 (million)
% 135.25/20.54 % (1453)------------------------------
% 135.25/20.54 % (1453)------------------------------
% 135.25/20.55 % (1454)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on DTF2THF_334 for (2807ds/15557Mi)
% 136.58/20.72 % (1441)Instruction limit reached!
% 136.58/20.72 % (1441)------------------------------
% 136.58/20.72 % (1441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 136.58/20.72 % (1441)Termination reason: Unknown
% 136.58/20.72 % (1441)Termination phase: Saturation
% 136.58/20.72
% 136.58/20.72 % (1441)Memory used [KB]: 12281
% 136.58/20.72 % (1441)Time elapsed: 3.830 s
% 136.58/20.72 % (1441)Instructions burned: 8427 (million)
% 136.58/20.72 % (1441)------------------------------
% 136.58/20.72 % (1441)------------------------------
% 136.58/20.73 % (1455)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on DTF2THF_334 for (2805ds/2142Mi)
% 141.45/21.33 % (1450)Instruction limit reached!
% 141.45/21.33 % (1450)------------------------------
% 141.45/21.33 % (1450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 141.45/21.33 % (1450)Termination reason: Unknown
% 141.45/21.33 % (1450)Termination phase: Saturation
% 141.45/21.33
% 141.45/21.33 % (1450)Memory used [KB]: 12025
% 141.45/21.33 % (1450)Time elapsed: 2.065 s
% 141.45/21.33 % (1450)Instructions burned: 4165 (million)
% 141.45/21.33 % (1450)------------------------------
% 141.45/21.33 % (1450)------------------------------
% 141.45/21.35 % (1456)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on DTF2THF_334 for (2799ds/5624Mi)
% 142.09/21.42 % (1452)Instruction limit reached!
% 142.09/21.42 % (1452)------------------------------
% 142.09/21.42 % (1452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 142.09/21.42 % (1452)Termination reason: Unknown
% 142.09/21.42 % (1452)Termination phase: Saturation
% 142.09/21.42
% 142.09/21.42 % (1452)Memory used [KB]: 10362
% 142.09/21.42 % (1452)Time elapsed: 1.255 s
% 142.09/21.42 % (1452)Instructions burned: 2636 (million)
% 142.09/21.42 % (1452)------------------------------
% 142.09/21.42 % (1452)------------------------------
% 142.09/21.43 % (1457)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on DTF2THF_334 for (2798ds/1665Mi)
% 143.62/21.76 % (1455)Instruction limit reached!
% 143.62/21.76 % (1455)------------------------------
% 143.62/21.76 % (1455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 143.62/21.76 % (1455)Termination reason: Unknown
% 143.62/21.76 % (1455)Termination phase: Saturation
% 143.62/21.76
% 143.62/21.76 % (1455)Memory used [KB]: 9083
% 143.62/21.76 % (1455)Time elapsed: 1.026 s
% 143.62/21.76 % (1455)Instructions burned: 2143 (million)
% 143.62/21.76 % (1455)------------------------------
% 143.62/21.76 % (1455)------------------------------
% 143.62/21.78 % (1458)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on DTF2THF_334 for (2795ds/64912Mi)
% 147.74/22.23 % (1457)Refutation not found, non-redundant clauses discarded% (1457)------------------------------
% 147.74/22.23 % (1457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 147.74/22.23 % (1457)Termination reason: Refutation not found, non-redundant clauses discarded
% 147.74/22.23
% 147.74/22.23 % (1457)Memory used [KB]: 7419
% 147.74/22.23 % (1457)Time elapsed: 0.799 s
% 147.74/22.23 % (1457)Instructions burned: 1635 (million)
% 147.74/22.23 % (1457)------------------------------
% 147.74/22.23 % (1457)------------------------------
% 147.74/22.25 % (1459)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on DTF2THF_334 for (2790ds/7801Mi)
% 150.19/22.66 % (1449)Instruction limit reached!
% 150.19/22.66 % (1449)------------------------------
% 150.19/22.66 % (1449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 150.19/22.66 % (1449)Termination reason: Unknown
% 150.19/22.66 % (1449)Termination phase: Saturation
% 150.19/22.66
% 150.19/22.66 % (1449)Memory used [KB]: 11257
% 150.19/22.66 % (1449)Time elapsed: 3.407 s
% 150.19/22.66 % (1449)Instructions burned: 7470 (million)
% 150.19/22.66 % (1449)------------------------------
% 150.19/22.66 % (1449)------------------------------
% 150.19/22.68 % (1460)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on DTF2THF_334 for (2786ds/15194Mi)
% 159.58/24.02 % (1456)Instruction limit reached!
% 159.58/24.02 % (1456)------------------------------
% 159.58/24.02 % (1456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 159.58/24.02 % (1456)Termination reason: Unknown
% 159.58/24.02 % (1456)Termination phase: Saturation
% 159.58/24.02
% 159.58/24.02 % (1456)Memory used [KB]: 11257
% 159.58/24.02 % (1456)Time elapsed: 2.674 s
% 159.58/24.02 % (1456)Instructions burned: 5625 (million)
% 159.58/24.02 % (1456)------------------------------
% 159.58/24.02 % (1456)------------------------------
% 157.79/24.05 % (1461)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on DTF2THF_334 for (2772ds/6753Mi)
% 172.83/25.81 % (1459)Instruction limit reached!
% 172.83/25.81 % (1459)------------------------------
% 172.83/25.81 % (1459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 172.83/25.81 % (1459)Termination reason: Unknown
% 172.83/25.81 % (1459)Termination phase: Saturation
% 172.83/25.81
% 172.83/25.81 % (1459)Memory used [KB]: 14711
% 172.83/25.81 % (1459)Time elapsed: 3.563 s
% 172.83/25.81 % (1459)Instructions burned: 7802 (million)
% 172.83/25.81 % (1459)------------------------------
% 172.83/25.81 % (1459)------------------------------
% 172.83/25.83 % (1462)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on DTF2THF_334 for (2754ds/1003Mi)
% 175.13/26.15 % (1451)Instruction limit reached!
% 175.13/26.15 % (1451)------------------------------
% 175.13/26.15 % (1451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 175.13/26.15 % (1451)Termination reason: Unknown
% 175.13/26.15 % (1451)Termination phase: Saturation
% 175.13/26.15
% 175.13/26.15 % (1451)Memory used [KB]: 16630
% 175.13/26.15 % (1451)Time elapsed: 6.485 s
% 175.13/26.15 % (1451)Instructions burned: 13469 (million)
% 175.13/26.15 % (1451)------------------------------
% 175.13/26.15 % (1451)------------------------------
% 175.13/26.17 % (1463)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on DTF2THF_334 for (2751ds/13018Mi)
% 176.19/26.31 % (1462)Instruction limit reached!
% 176.19/26.31 % (1462)------------------------------
% 176.19/26.31 % (1462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 176.19/26.31 % (1462)Termination reason: Unknown
% 176.19/26.31 % (1462)Termination phase: Saturation
% 176.19/26.31
% 176.19/26.31 % (1462)Memory used [KB]: 6780
% 176.19/26.31 % (1462)Time elapsed: 0.489 s
% 176.19/26.31 % (1462)Instructions burned: 1003 (million)
% 176.19/26.31 % (1462)------------------------------
% 176.19/26.31 % (1462)------------------------------
% 176.19/26.33 % (1464)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on DTF2THF_334 for (2749ds/1267Mi)
% 179.21/26.93 % (1464)Instruction limit reached!
% 179.21/26.93 % (1464)------------------------------
% 179.21/26.93 % (1464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 179.21/26.93 % (1464)Termination reason: Unknown
% 179.21/26.93 % (1464)Termination phase: Saturation
% 179.21/26.93
% 179.21/26.93 % (1464)Memory used [KB]: 8955
% 179.21/26.93 % (1464)Time elapsed: 0.621 s
% 179.21/26.93 % (1464)Instructions burned: 1267 (million)
% 179.21/26.93 % (1464)------------------------------
% 179.21/26.93 % (1464)------------------------------
% 179.21/26.95 % (1465)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on DTF2THF_334 for (2743ds/2570Mi)
% 182.62/27.22 % (1454)Instruction limit reached!
% 182.62/27.22 % (1454)------------------------------
% 182.62/27.22 % (1454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.62/27.22 % (1454)Termination reason: Unknown
% 182.62/27.22 % (1454)Termination phase: Saturation
% 182.62/27.22
% 182.62/27.22 % (1454)Memory used [KB]: 14711
% 182.62/27.22 % (1454)Time elapsed: 6.685 s
% 182.62/27.22 % (1454)Instructions burned: 15558 (million)
% 182.62/27.22 % (1454)------------------------------
% 182.62/27.22 % (1454)------------------------------
% 182.62/27.24 % (1461)Instruction limit reached!
% 182.62/27.24 % (1461)------------------------------
% 182.62/27.24 % (1461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 182.62/27.24 % (1461)Termination reason: Unknown
% 182.62/27.24 % (1461)Termination phase: Saturation
% 182.62/27.24
% 182.62/27.24 % (1461)Memory used [KB]: 12281
% 182.62/27.24 % (1461)Time elapsed: 3.220 s
% 182.62/27.24 % (1461)Instructions burned: 6754 (million)
% 182.62/27.24 % (1461)------------------------------
% 182.62/27.24 % (1461)------------------------------
% 182.62/27.24 % (1466)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on DTF2THF_334 for (2740ds/13163Mi)
% 182.62/27.26 % (1467)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on DTF2THF_334 for (2740ds/5087Mi)
% 189.18/28.18 % (1465)Instruction limit reached!
% 189.18/28.18 % (1465)------------------------------
% 189.18/28.18 % (1465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 189.18/28.18 % (1465)Termination reason: Unknown
% 189.18/28.18 % (1465)Termination phase: Saturation
% 189.18/28.18
% 189.18/28.18 % (1465)Memory used [KB]: 11129
% 189.18/28.18 % (1465)Time elapsed: 1.250 s
% 189.18/28.18 % (1465)Instructions burned: 2571 (million)
% 189.18/28.18 % (1465)------------------------------
% 189.18/28.18 % (1465)------------------------------
% 189.60/28.20 % (1468)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on DTF2THF_334 for (2731ds/10380Mi)
% 189.60/28.28 % (1468)First to succeed.
% 1.60/28.30 % (1468)Refutation found. Thanks to Tanya!
% 1.60/28.30 % SZS status Theorem for DTF2THF_334
% 1.60/28.30 % SZS output start Proof for DTF2THF_334
% 1.60/28.30 thf(type_def_5, type, a: $tType).
% 1.60/28.30 thf(func_def_0, type, a: $tType).
% 1.60/28.30 thf(func_def_22, type, ph1: !>[X0: $tType]:(X0)).
% 1.60/28.30 thf(func_def_23, type, sK2: a > $o).
% 1.60/28.30 thf(func_def_24, type, sK3: a).
% 1.60/28.30 thf(func_def_25, type, sK4: a > a > a).
% 1.60/28.30 thf(func_def_26, type, sK5: a > a).
% 1.60/28.30 thf(func_def_27, type, sK6: a > a).
% 1.60/28.30 thf(func_def_28, type, sK7: a).
% 1.60/28.30 thf(func_def_29, type, sK8: a > $o).
% 1.60/28.30 thf(func_def_30, type, sK9: a).
% 1.60/28.30 thf(func_def_31, type, sK10: a > a > a).
% 1.60/28.30 thf(func_def_32, type, sK11: a > a > $o).
% 1.60/28.30 thf(func_def_33, type, sK12: a > a).
% 1.60/28.30 thf(func_def_34, type, sK13: a).
% 1.60/28.30 thf(func_def_35, type, sK14: (a > $o) > a).
% 1.60/28.30 thf(func_def_36, type, sK15: a > (a > $o) > a).
% 1.60/28.30 thf(func_def_37, type, sK16: a > a > $o).
% 1.60/28.30 thf(func_def_38, type, sK17: a).
% 1.60/28.30 thf(func_def_39, type, sK18: a > a > $o).
% 1.60/28.30 thf(f512,plain,(
% 1.60/28.30 $false),
% 1.60/28.30 inference(avatar_sat_refutation,[status(thm)],[f47,f61,f167,f174,f502,f510])).
% 1.60/28.30 thf(f510,plain,(
% 1.60/28.30 ~spl0_1 | ~spl0_3),
% 1.60/28.30 inference(avatar_contradiction_clause,[status(thm)],[f509])).
% 1.60/28.30 thf(f509,plain,(
% 1.60/28.30 $false | (~spl0_1 | ~spl0_3)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f505])).
% 1.60/28.30 thf(f505,plain,(
% 1.60/28.30 ($true = $false) | (~spl0_1 | ~spl0_3)),
% 1.60/28.30 inference(superposition,[status(thm)],[f43,f57])).
% 1.60/28.30 thf(f57,plain,(
% 1.60/28.30 ($false = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))))) | ~spl0_3),
% 1.60/28.30 inference(avatar_component_clause,[status(thm)],[f56])).
% 1.60/28.30 thf(f56,definition,(
% 1.60/28.30 spl0_3 <=> ($false = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7)))))))))),
% 1.60/28.30 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.60/28.30 thf(f43,plain,(
% 1.60/28.30 ($true = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))))) | ~spl0_1),
% 1.60/28.30 inference(avatar_component_clause,[status(thm)],[f42])).
% 1.60/28.30 thf(f42,definition,(
% 1.60/28.30 spl0_1 <=> ($true = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7)))))))))),
% 1.60/28.30 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.60/28.30 thf(f502,plain,(
% 1.60/28.30 ~spl0_1 | ~spl0_4),
% 1.60/28.30 inference(avatar_contradiction_clause,[status(thm)],[f501])).
% 1.60/28.30 thf(f501,plain,(
% 1.60/28.30 $false | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f498])).
% 1.60/28.30 thf(f498,plain,(
% 1.60/28.30 ($true = $false) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(superposition,[status(thm)],[f242,f492])).
% 1.60/28.30 thf(f492,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK17 @ sK7))) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f491])).
% 1.60/28.30 thf(f491,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK17 @ sK7))) | ($true = $false) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(forward_demodulation,[status(thm)],[f490,f247])).
% 1.60/28.30 thf(f247,plain,(
% 1.60/28.30 ($false = (sK8 @ (sK12 @ sK17))) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f245])).
% 1.60/28.30 thf(f245,plain,(
% 1.60/28.30 ($true = $false) | ($false = (sK8 @ (sK12 @ sK17))) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(superposition,[status(thm)],[f182,f242])).
% 1.60/28.30 thf(f182,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = (sK2 @ (sK4 @ X1 @ sK7))) | ($false = (sK8 @ (sK12 @ X1)))) ) | ~spl0_4),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f181])).
% 1.60/28.30 thf(f181,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = (sK2 @ (sK4 @ X1 @ sK7))) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK12 @ X1)))))))) => (sK8 @ (sK12 @ X1))))) ) | ~spl0_4),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f180])).
% 1.60/28.30 thf(f180,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = (sK2 @ (sK4 @ X1 @ sK7))) | ($false = ((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0))) @ (sK12 @ X1)))) ) | ~spl0_4),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f176])).
% 1.60/28.30 thf(f176,plain,(
% 1.60/28.30 ( ! [X1 : a] : (((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false) | ($false = (sK2 @ (sK4 @ X1 @ sK7)))) ) | ~spl0_4),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f175])).
% 1.60/28.30 thf(f175,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = ((sK2 @ (sK4 @ X1 @ sK7)) & (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0))))))) ) | ~spl0_4),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f168])).
% 1.60/28.30 thf(f168,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = ((^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))))) @ X1))) ) | ~spl0_4),
% 1.60/28.30 inference(pi_clausification,[status(thm)],[f60])).
% 1.60/28.30 thf(f60,plain,(
% 1.60/28.30 ($false = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))))))) | ~spl0_4),
% 1.60/28.30 inference(avatar_component_clause,[status(thm)],[f59])).
% 1.60/28.30 thf(f59,definition,(
% 1.60/28.30 spl0_4 <=> ($false = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1))))))))),
% 1.60/28.30 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.60/28.30 thf(f490,plain,(
% 1.60/28.30 ($true = (sK8 @ (sK12 @ sK17))) | ($false = (sK2 @ (sK4 @ sK17 @ sK7))) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f486])).
% 1.60/28.30 thf(f486,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK17 @ sK7))) | ($true = $false) | ($true = (sK8 @ (sK12 @ sK17))) | (~spl0_1 | ~spl0_4)),
% 1.60/28.30 inference(superposition,[status(thm)],[f312,f183])).
% 1.60/28.30 thf(f183,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK12 @ X1))))))))) | ($false = (sK2 @ (sK4 @ X1 @ sK7)))) ) | ~spl0_4),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f181])).
% 1.60/28.30 thf(f312,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK17) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X0)))))))) | ($true = (sK8 @ X0))) ) | ~spl0_1),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f310])).
% 1.60/28.30 thf(f310,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK17) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X0)))))))) | ($true = (sK8 @ X0)) | ($true = $false)) ) | ~spl0_1),
% 1.60/28.30 inference(superposition,[status(thm)],[f227,f281])).
% 1.60/28.30 thf(f281,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK13) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1)))))))) | ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK17) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1))))))))) ) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f280])).
% 1.60/28.30 thf(f280,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK17) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK13) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1)))))))))) ) | ~spl0_1),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f279])).
% 1.60/28.30 thf(f279,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK17) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))))) @ X1))) ) | ~spl0_1),
% 1.60/28.30 inference(pi_clausification,[status(thm)],[f243])).
% 1.60/28.30 thf(f243,plain,(
% 1.60/28.30 ($true = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK17) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))))))) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f241])).
% 1.60/28.30 thf(f241,plain,(
% 1.60/28.30 ($true = ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK17) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0)))))))))) & (sK2 @ (sK4 @ sK17 @ sK7)))) | ~spl0_1),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f240])).
% 1.60/28.30 thf(f240,plain,(
% 1.60/28.30 ($true = ((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ sK13) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7)))) @ sK17)) | ~spl0_1),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f186])).
% 1.60/28.30 thf(f186,plain,(
% 1.60/28.30 ($true = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ sK13) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7)))))) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f185])).
% 1.60/28.30 thf(f185,plain,(
% 1.60/28.30 ($true = ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) & (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ sK13) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7))))))) | ~spl0_1),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f184])).
% 1.60/28.30 thf(f184,plain,(
% 1.60/28.30 ($true = ((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))) @ sK13)) | ~spl0_1),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f43])).
% 1.60/28.30 thf(f227,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK13) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1)))))))) | ($true = (sK8 @ X1))) ) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f226])).
% 1.60/28.30 thf(f226,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK13) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = X1))))))) => (sK8 @ X1)))) ) | ~spl0_1),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f221])).
% 1.60/28.30 thf(f221,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($true = ((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0))) @ X1))) ) | ~spl0_1),
% 1.60/28.30 inference(pi_clausification,[status(thm)],[f187])).
% 1.60/28.30 thf(f187,plain,(
% 1.60/28.30 ($true = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK13) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0))))) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f185])).
% 1.60/28.30 thf(f242,plain,(
% 1.60/28.30 ($true = (sK2 @ (sK4 @ sK17 @ sK7))) | ~spl0_1),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f241])).
% 1.60/28.30 thf(f174,plain,(
% 1.60/28.30 ~spl0_2 | ~spl0_4),
% 1.60/28.30 inference(avatar_contradiction_clause,[status(thm)],[f173])).
% 1.60/28.30 thf(f173,plain,(
% 1.60/28.30 $false | (~spl0_2 | ~spl0_4)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f169])).
% 1.60/28.30 thf(f169,plain,(
% 1.60/28.30 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 1.60/28.30 inference(superposition,[status(thm)],[f60,f46])).
% 1.60/28.30 thf(f46,plain,(
% 1.60/28.30 ($true = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))))))) | ~spl0_2),
% 1.60/28.30 inference(avatar_component_clause,[status(thm)],[f45])).
% 1.60/28.30 thf(f45,definition,(
% 1.60/28.30 spl0_2 <=> ($true = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1))))))))),
% 1.60/28.30 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.60/28.30 thf(f167,plain,(
% 1.60/28.30 ~spl0_2 | ~spl0_3),
% 1.60/28.30 inference(avatar_contradiction_clause,[status(thm)],[f166])).
% 1.60/28.30 thf(f166,plain,(
% 1.60/28.30 $false | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f162])).
% 1.60/28.30 thf(f162,plain,(
% 1.60/28.30 ($true = $false) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(superposition,[status(thm)],[f155,f54])).
% 1.60/28.30 thf(f54,plain,(
% 1.60/28.30 ($true = (sK2 @ (sK4 @ sK9 @ sK7))) | ~spl0_2),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 1.60/28.30 thf(f52,plain,(
% 1.60/28.30 ($true = ((sK2 @ (sK4 @ sK9 @ sK7)) & (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK9) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))))) | ~spl0_2),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f51])).
% 1.60/28.30 thf(f51,plain,(
% 1.60/28.30 ($true = ((^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))))) @ sK9)) | ~spl0_2),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f46])).
% 1.60/28.30 thf(f155,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK9 @ sK7))) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f154])).
% 1.60/28.30 thf(f154,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK9 @ sK7))) | ($true = $false) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(duplicate_literal_removal,[status(thm)],[f149])).
% 1.60/28.30 thf(f149,plain,(
% 1.60/28.30 ($false = (sK2 @ (sK4 @ sK9 @ sK7))) | ($true = $false) | ($false = (sK2 @ (sK4 @ sK9 @ sK7))) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(superposition,[status(thm)],[f111,f119])).
% 1.60/28.30 thf(f119,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ sK9 @ X0))))))))) | ((sK2 @ (sK4 @ X0 @ sK7)) = $false)) ) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f115])).
% 1.60/28.30 thf(f115,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X0) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ sK9 @ X0))))))))) | ((sK2 @ (sK4 @ X0 @ sK7)) = $false) | ($true = $false)) ) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(superposition,[status(thm)],[f76,f53])).
% 1.60/28.30 thf(f53,plain,(
% 1.60/28.30 ($true = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ sK9) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0))))) | ~spl0_2),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f52])).
% 1.60/28.30 thf(f76,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false) | ($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ X1 @ X2))))))))) | ($false = (sK2 @ (sK4 @ X2 @ sK7)))) ) | ~spl0_3),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f74])).
% 1.60/28.30 thf(f74,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false) | ($false = ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X2) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ X1 @ X2)))))))) => (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ X1 @ X2)))))))))) | ($false = (sK2 @ (sK4 @ X2 @ sK7)))) ) | ~spl0_3),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f73])).
% 1.60/28.30 thf(f73,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false) | ($false = (sK2 @ (sK4 @ X2 @ sK7))) | ($false = ((^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X2) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))))) @ (sK10 @ X1 @ X2)))) ) | ~spl0_3),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f69])).
% 1.60/28.30 thf(f69,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (($false = (!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X2) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))))))) | ($false = (sK2 @ (sK4 @ X2 @ sK7))) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false)) ) | ~spl0_3),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 1.60/28.30 thf(f68,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (($false = ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X2) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0)))))))))) & (sK2 @ (sK4 @ X2 @ sK7)))) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false)) ) | ~spl0_3),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f67])).
% 1.60/28.30 thf(f67,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (($false = ((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ X1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7)))) @ X2)) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false)) ) | ~spl0_3),
% 1.60/28.30 inference(pi_clausification,[status(thm)],[f64])).
% 1.60/28.30 thf(f64,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ X1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7)))))) | ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false)) ) | ~spl0_3),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f63])).
% 1.60/28.30 thf(f63,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = ((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) & (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ X1) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1)))))))))) & (sK2 @ (sK4 @ Y0 @ sK7)))))))) ) | ~spl0_3),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f62])).
% 1.60/28.30 thf(f62,plain,(
% 1.60/28.30 ( ! [X1 : a] : (($false = ((^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))) @ X1))) ) | ~spl0_3),
% 1.60/28.30 inference(pi_clausification,[status(thm)],[f57])).
% 1.60/28.30 thf(f111,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK9) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ sK9 @ X0))))))))) | ((sK2 @ (sK4 @ X0 @ sK7)) = $false)) ) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(trivial_inequality_removal,[status(thm)],[f107])).
% 1.60/28.30 thf(f107,plain,(
% 1.60/28.30 ( ! [X0 : a] : (($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ sK9) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ sK9 @ X0))))))))) | ((sK2 @ (sK4 @ X0 @ sK7)) = $false) | ($true = $false)) ) | (~spl0_2 | ~spl0_3)),
% 1.60/28.30 inference(superposition,[status(thm)],[f75,f53])).
% 1.60/28.30 thf(f75,plain,(
% 1.60/28.30 ( ! [X2 : a,X1 : a] : (((!! @ a @ (^[Y0 : a]: ((!! @ (a > $o) @ (^[Y1 : a > $o]: (((Y1 @ X1) & (!! @ a @ (^[Y2 : a]: ((Y1 @ Y2) => (Y1 @ (sK6 @ Y2)))))) => (?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & ((sK5 @ Y2) = Y0))))))) => (sK8 @ Y0)))) = $false) | ((!! @ (a > $o) @ (^[Y0 : a > $o]: (((Y0 @ X1) & (!! @ a @ (^[Y1 : a]: ((Y0 @ Y1) => (Y0 @ (sK6 @ Y1)))))) => (?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & ((sK5 @ Y1) = (sK10 @ X1 @ X2)))))))) = $false) | ($false = (sK2 @ (sK4 @ X2 @ sK7)))) ) | ~spl0_3),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f74])).
% 1.60/28.30 thf(f61,plain,(
% 1.60/28.30 spl0_3 | spl0_4),
% 1.60/28.30 inference(avatar_split_clause,[status(thm)],[f38,f59,f56])).
% 1.60/28.30 thf(f38,plain,(
% 1.60/28.30 ($false = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))))) | ($false = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1))))))))),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 1.60/28.30 thf(f36,plain,(
% 1.60/28.30 ((?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1))))))) != (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7)))))))))),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.60/28.30 thf(f35,plain,(
% 1.60/28.30 ($false = ((?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1))))))) = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f34])).
% 1.60/28.30 thf(f34,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((sK2 @ (sK4 @ Y1 @ sK7)) & (!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (Y0 @ Y2))))))) = (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (Y0 @ Y2)))) & (?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y1) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3)))))))))) & (sK2 @ (sK4 @ Y2 @ sK7)))))))))) @ sK8))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f33])).
% 1.60/28.30 thf(f33,plain,(
% 1.60/28.30 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((sK2 @ (sK4 @ Y1 @ sK7)) & (!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (Y0 @ Y2))))))) = (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (Y0 @ Y2)))) & (?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y1) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3)))))))))) & (sK2 @ (sK4 @ Y2 @ sK7))))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f32])).
% 1.60/28.30 thf(f32,plain,(
% 1.60/28.30 (((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((sK2 @ (sK4 @ Y2 @ Y0)) & (!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3))))))) = (?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3)))) & (?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y2) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4)))))))))) & (sK2 @ (sK4 @ Y3 @ Y0)))))))))))) @ sK7) = $false)),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f18])).
% 1.60/28.30 thf(f18,plain,(
% 1.60/28.30 ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((sK2 @ (sK4 @ Y2 @ Y0)) & (!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3))))))) = (?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3)))) & (?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y2) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4)))))))))) & (sK2 @ (sK4 @ Y3 @ Y0))))))))))))))),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.60/28.30 thf(f17,plain,(
% 1.60/28.30 ($false = (((((((!! @ (a > $o) @ (^[Y0 : a > $o]: ((?? @ a @ (^[Y1 : a]: ((Y0 @ Y1) & (!! @ a @ (^[Y2 : a]: ((Y0 @ Y2) => (Y0 @ (sK6 @ Y2)))))))) => (Y0 @ sK3)))) & ((sK6 @ sK3) = sK3)) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK5 @ (sK4 @ Y0 @ Y1)) = Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK6 @ (sK4 @ Y0 @ Y1)) = Y0)))))) & (!! @ a @ (^[Y0 : a]: ((~ (sK3 = Y0)) = ((sK4 @ (sK6 @ Y0) @ (sK5 @ Y0)) = Y0))))) & ((sK5 @ sK3) = sK3)) => (!! @ a @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((sK2 @ (sK4 @ Y2 @ Y0)) & (!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3))))))) = (?? @ a @ (^[Y2 : a]: ((!! @ a @ (^[Y3 : a]: ((!! @ (a > $o) @ (^[Y4 : a > $o]: (((Y4 @ Y2) & (!! @ a @ (^[Y5 : a]: ((Y4 @ Y5) => (Y4 @ (sK6 @ Y5)))))) => (?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & ((sK5 @ Y5) = Y3))))))) => (Y1 @ Y3)))) & (?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y2) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (sK6 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4)))))))))) & (sK2 @ (sK4 @ Y3 @ Y0)))))))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f16])).
% 1.60/28.30 thf(f16,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a > a]: (((((((!! @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (Y1 @ (Y0 @ Y3)))))))) => (Y1 @ sK3)))) & ((Y0 @ sK3) = sK3)) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK5 @ (sK4 @ Y1 @ Y2)) = Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (sK4 @ Y1 @ Y2)) = Y1)))))) & (!! @ a @ (^[Y1 : a]: ((~ (sK3 = Y1)) = ((sK4 @ (Y0 @ Y1) @ (sK5 @ Y1)) = Y1))))) & ((sK5 @ sK3) = sK3)) => (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((sK2 @ (sK4 @ Y3 @ Y1)) & (!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (Y0 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (Y2 @ Y4))))))) = (?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (Y0 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (Y2 @ Y4)))) & (?? @ a @ (^[Y4 : a]: ((!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y0 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((sK5 @ Y7) = Y5))))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y3) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y0 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((sK5 @ Y7) = Y5)))))))))) & (sK2 @ (sK4 @ Y4 @ Y1))))))))))))))) @ sK6))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f15])).
% 1.60/28.30 thf(f15,plain,(
% 1.60/28.30 ((!! @ (a > a) @ (^[Y0 : a > a]: (((((((!! @ (a > $o) @ (^[Y1 : a > $o]: ((?? @ a @ (^[Y2 : a]: ((Y1 @ Y2) & (!! @ a @ (^[Y3 : a]: ((Y1 @ Y3) => (Y1 @ (Y0 @ Y3)))))))) => (Y1 @ sK3)))) & ((Y0 @ sK3) = sK3)) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK5 @ (sK4 @ Y1 @ Y2)) = Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (sK4 @ Y1 @ Y2)) = Y1)))))) & (!! @ a @ (^[Y1 : a]: ((~ (sK3 = Y1)) = ((sK4 @ (Y0 @ Y1) @ (sK5 @ Y1)) = Y1))))) & ((sK5 @ sK3) = sK3)) => (!! @ a @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((sK2 @ (sK4 @ Y3 @ Y1)) & (!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (Y0 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (Y2 @ Y4))))))) = (?? @ a @ (^[Y3 : a]: ((!! @ a @ (^[Y4 : a]: ((!! @ (a > $o) @ (^[Y5 : a > $o]: (((Y5 @ Y3) & (!! @ a @ (^[Y6 : a]: ((Y5 @ Y6) => (Y5 @ (Y0 @ Y6)))))) => (?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & ((sK5 @ Y6) = Y4))))))) => (Y2 @ Y4)))) & (?? @ a @ (^[Y4 : a]: ((!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y0 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((sK5 @ Y7) = Y5))))))) => (!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y3) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y0 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((sK5 @ Y7) = Y5)))))))))) & (sK2 @ (sK4 @ Y4 @ Y1)))))))))))))))) = $false)),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.60/28.30 thf(f14,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (((((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y2 @ (Y1 @ Y4)))))))) => (Y2 @ sK3)))) & ((Y1 @ sK3) = sK3)) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y0 @ (sK4 @ Y2 @ Y3)) = Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (sK4 @ Y2 @ Y3)) = Y2)))))) & (!! @ a @ (^[Y2 : a]: ((~ (sK3 = Y2)) = ((sK4 @ (Y1 @ Y2) @ (Y0 @ Y2)) = Y2))))) & ((Y0 @ sK3) = sK3)) => (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ a @ (^[Y4 : a]: ((sK2 @ (sK4 @ Y4 @ Y2)) & (!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y1 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((Y0 @ Y7) = Y5))))))) => (Y3 @ Y5))))))) = (?? @ a @ (^[Y4 : a]: ((!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y1 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((Y0 @ Y7) = Y5))))))) => (Y3 @ Y5)))) & (?? @ a @ (^[Y5 : a]: ((!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y1 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y0 @ Y8) = Y6))))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y4) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y1 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y0 @ Y8) = Y6)))))))))) & (sK2 @ (sK4 @ Y5 @ Y2))))))))))))))))) @ sK5))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f13])).
% 1.60/28.30 thf(f13,plain,(
% 1.60/28.30 ($false = (!! @ (a > a) @ (^[Y0 : a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (((((((!! @ (a > $o) @ (^[Y2 : a > $o]: ((?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & (!! @ a @ (^[Y4 : a]: ((Y2 @ Y4) => (Y2 @ (Y1 @ Y4)))))))) => (Y2 @ sK3)))) & ((Y1 @ sK3) = sK3)) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y0 @ (sK4 @ Y2 @ Y3)) = Y3)))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (sK4 @ Y2 @ Y3)) = Y2)))))) & (!! @ a @ (^[Y2 : a]: ((~ (sK3 = Y2)) = ((sK4 @ (Y1 @ Y2) @ (Y0 @ Y2)) = Y2))))) & ((Y0 @ sK3) = sK3)) => (!! @ a @ (^[Y2 : a]: (!! @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ a @ (^[Y4 : a]: ((sK2 @ (sK4 @ Y4 @ Y2)) & (!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y1 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((Y0 @ Y7) = Y5))))))) => (Y3 @ Y5))))))) = (?? @ a @ (^[Y4 : a]: ((!! @ a @ (^[Y5 : a]: ((!! @ (a > $o) @ (^[Y6 : a > $o]: (((Y6 @ Y4) & (!! @ a @ (^[Y7 : a]: ((Y6 @ Y7) => (Y6 @ (Y1 @ Y7)))))) => (?? @ a @ (^[Y7 : a]: ((Y6 @ Y7) & ((Y0 @ Y7) = Y5))))))) => (Y3 @ Y5)))) & (?? @ a @ (^[Y5 : a]: ((!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y1 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y0 @ Y8) = Y6))))))) => (!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y4) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y1 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y0 @ Y8) = Y6)))))))))) & (sK2 @ (sK4 @ Y5 @ Y2)))))))))))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f12])).
% 1.60/28.30 thf(f12,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a > a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) => (Y3 @ (Y2 @ Y5)))))))) => (Y3 @ sK3)))) & ((Y2 @ sK3) = sK3)) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ (Y0 @ Y3 @ Y4)) = Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (Y0 @ Y3 @ Y4)) = Y3)))))) & (!! @ a @ (^[Y3 : a]: ((~ (sK3 = Y3)) = ((Y0 @ (Y2 @ Y3) @ (Y1 @ Y3)) = Y3))))) & ((Y1 @ sK3) = sK3)) => (!! @ a @ (^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((?? @ a @ (^[Y5 : a]: ((sK2 @ (Y0 @ Y5 @ Y3)) & (!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y2 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y1 @ Y8) = Y6))))))) => (Y4 @ Y6))))))) = (?? @ a @ (^[Y5 : a]: ((!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y2 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y1 @ Y8) = Y6))))))) => (Y4 @ Y6)))) & (?? @ a @ (^[Y6 : a]: ((!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y2 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y1 @ Y9) = Y7))))))) => (!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y5) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y2 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y1 @ Y9) = Y7)))))))))) & (sK2 @ (Y0 @ Y6 @ Y3))))))))))))))))))) @ sK4))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f11])).
% 1.60/28.30 thf(f11,plain,(
% 1.60/28.30 ($false = (!! @ (a > a > a) @ (^[Y0 : a > a > a]: (!! @ (a > a) @ (^[Y1 : a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (((((((!! @ (a > $o) @ (^[Y3 : a > $o]: ((?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & (!! @ a @ (^[Y5 : a]: ((Y3 @ Y5) => (Y3 @ (Y2 @ Y5)))))))) => (Y3 @ sK3)))) & ((Y2 @ sK3) = sK3)) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y1 @ (Y0 @ Y3 @ Y4)) = Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (Y0 @ Y3 @ Y4)) = Y3)))))) & (!! @ a @ (^[Y3 : a]: ((~ (sK3 = Y3)) = ((Y0 @ (Y2 @ Y3) @ (Y1 @ Y3)) = Y3))))) & ((Y1 @ sK3) = sK3)) => (!! @ a @ (^[Y3 : a]: (!! @ (a > $o) @ (^[Y4 : a > $o]: ((?? @ a @ (^[Y5 : a]: ((sK2 @ (Y0 @ Y5 @ Y3)) & (!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y2 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y1 @ Y8) = Y6))))))) => (Y4 @ Y6))))))) = (?? @ a @ (^[Y5 : a]: ((!! @ a @ (^[Y6 : a]: ((!! @ (a > $o) @ (^[Y7 : a > $o]: (((Y7 @ Y5) & (!! @ a @ (^[Y8 : a]: ((Y7 @ Y8) => (Y7 @ (Y2 @ Y8)))))) => (?? @ a @ (^[Y8 : a]: ((Y7 @ Y8) & ((Y1 @ Y8) = Y6))))))) => (Y4 @ Y6)))) & (?? @ a @ (^[Y6 : a]: ((!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y2 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y1 @ Y9) = Y7))))))) => (!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y5) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y2 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y1 @ Y9) = Y7)))))))))) & (sK2 @ (Y0 @ Y6 @ Y3)))))))))))))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f10])).
% 1.60/28.30 thf(f10,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a]: (!! @ (a > a > a) @ (^[Y1 : a > a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (((((((!! @ (a > $o) @ (^[Y4 : a > $o]: ((?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & (!! @ a @ (^[Y6 : a]: ((Y4 @ Y6) => (Y4 @ (Y3 @ Y6)))))))) => (Y4 @ Y0)))) & ((Y3 @ Y0) = Y0)) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((Y2 @ (Y1 @ Y4 @ Y5)) = Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((Y3 @ (Y1 @ Y4 @ Y5)) = Y4)))))) & (!! @ a @ (^[Y4 : a]: ((~ (Y0 = Y4)) = ((Y1 @ (Y3 @ Y4) @ (Y2 @ Y4)) = Y4))))) & ((Y2 @ Y0) = Y0)) => (!! @ a @ (^[Y4 : a]: (!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((sK2 @ (Y1 @ Y6 @ Y4)) & (!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y3 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y2 @ Y9) = Y7))))))) => (Y5 @ Y7))))))) = (?? @ a @ (^[Y6 : a]: ((!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y3 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y2 @ Y9) = Y7))))))) => (Y5 @ Y7)))) & (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y3 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y2 @ Y10) = Y8))))))) => (!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y6) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y3 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y2 @ Y10) = Y8)))))))))) & (sK2 @ (Y1 @ Y7 @ Y4))))))))))))))))))))) @ sK3))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f9])).
% 1.60/28.30 thf(f9,plain,(
% 1.60/28.30 ($false = (!! @ a @ (^[Y0 : a]: (!! @ (a > a > a) @ (^[Y1 : a > a > a]: (!! @ (a > a) @ (^[Y2 : a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (((((((!! @ (a > $o) @ (^[Y4 : a > $o]: ((?? @ a @ (^[Y5 : a]: ((Y4 @ Y5) & (!! @ a @ (^[Y6 : a]: ((Y4 @ Y6) => (Y4 @ (Y3 @ Y6)))))))) => (Y4 @ Y0)))) & ((Y3 @ Y0) = Y0)) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((Y2 @ (Y1 @ Y4 @ Y5)) = Y5)))))) & (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: ((Y3 @ (Y1 @ Y4 @ Y5)) = Y4)))))) & (!! @ a @ (^[Y4 : a]: ((~ (Y0 = Y4)) = ((Y1 @ (Y3 @ Y4) @ (Y2 @ Y4)) = Y4))))) & ((Y2 @ Y0) = Y0)) => (!! @ a @ (^[Y4 : a]: (!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((sK2 @ (Y1 @ Y6 @ Y4)) & (!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y3 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y2 @ Y9) = Y7))))))) => (Y5 @ Y7))))))) = (?? @ a @ (^[Y6 : a]: ((!! @ a @ (^[Y7 : a]: ((!! @ (a > $o) @ (^[Y8 : a > $o]: (((Y8 @ Y6) & (!! @ a @ (^[Y9 : a]: ((Y8 @ Y9) => (Y8 @ (Y3 @ Y9)))))) => (?? @ a @ (^[Y9 : a]: ((Y8 @ Y9) & ((Y2 @ Y9) = Y7))))))) => (Y5 @ Y7)))) & (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y3 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y2 @ Y10) = Y8))))))) => (!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y6) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y3 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y2 @ Y10) = Y8)))))))))) & (sK2 @ (Y1 @ Y7 @ Y4)))))))))))))))))))))))),
% 1.60/28.30 inference(beta_eta_normalization,[status(thm)],[f8])).
% 1.60/28.30 thf(f8,plain,(
% 1.60/28.30 ($false = ((^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > a) @ (^[Y2 : a > a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (!! @ (a > a) @ (^[Y4 : a > a]: (((((((!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & (!! @ a @ (^[Y7 : a]: ((Y5 @ Y7) => (Y5 @ (Y4 @ Y7)))))))) => (Y5 @ Y1)))) & ((Y4 @ Y1) = Y1)) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y3 @ (Y2 @ Y5 @ Y6)) = Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y4 @ (Y2 @ Y5 @ Y6)) = Y5)))))) & (!! @ a @ (^[Y5 : a]: ((~ (Y1 = Y5)) = ((Y2 @ (Y4 @ Y5) @ (Y3 @ Y5)) = Y5))))) & ((Y3 @ Y1) = Y1)) => (!! @ a @ (^[Y5 : a]: (!! @ (a > $o) @ (^[Y6 : a > $o]: ((?? @ a @ (^[Y7 : a]: ((Y0 @ (Y2 @ Y7 @ Y5)) & (!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8))))))) = (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8)))) & (?? @ a @ (^[Y8 : a]: ((!! @ a @ (^[Y9 : a]: ((!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y8) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9))))))) => (!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y7) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9)))))))))) & (Y0 @ (Y2 @ Y8 @ Y5))))))))))))))))))))))) @ sK2))),
% 1.60/28.30 inference(sigma_clausification,[status(thm)],[f7])).
% 1.60/28.30 thf(f7,plain,(
% 1.60/28.30 ($false = (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > a) @ (^[Y2 : a > a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (!! @ (a > a) @ (^[Y4 : a > a]: (((((((!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & (!! @ a @ (^[Y7 : a]: ((Y5 @ Y7) => (Y5 @ (Y4 @ Y7)))))))) => (Y5 @ Y1)))) & ((Y4 @ Y1) = Y1)) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y3 @ (Y2 @ Y5 @ Y6)) = Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y4 @ (Y2 @ Y5 @ Y6)) = Y5)))))) & (!! @ a @ (^[Y5 : a]: ((~ (Y1 = Y5)) = ((Y2 @ (Y4 @ Y5) @ (Y3 @ Y5)) = Y5))))) & ((Y3 @ Y1) = Y1)) => (!! @ a @ (^[Y5 : a]: (!! @ (a > $o) @ (^[Y6 : a > $o]: ((?? @ a @ (^[Y7 : a]: ((Y0 @ (Y2 @ Y7 @ Y5)) & (!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8))))))) = (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8)))) & (?? @ a @ (^[Y8 : a]: ((!! @ a @ (^[Y9 : a]: ((!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y8) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9))))))) => (!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y7) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9)))))))))) & (Y0 @ (Y2 @ Y8 @ Y5)))))))))))))))))))))))))),
% 1.60/28.30 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.60/28.30 thf(f6,plain,(
% 1.60/28.30 ($true = (~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > a) @ (^[Y2 : a > a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (!! @ (a > a) @ (^[Y4 : a > a]: (((((((!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & (!! @ a @ (^[Y7 : a]: ((Y5 @ Y7) => (Y5 @ (Y4 @ Y7)))))))) => (Y5 @ Y1)))) & ((Y4 @ Y1) = Y1)) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y3 @ (Y2 @ Y5 @ Y6)) = Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y4 @ (Y2 @ Y5 @ Y6)) = Y5)))))) & (!! @ a @ (^[Y5 : a]: ((~ (Y1 = Y5)) = ((Y2 @ (Y4 @ Y5) @ (Y3 @ Y5)) = Y5))))) & ((Y3 @ Y1) = Y1)) => (!! @ a @ (^[Y5 : a]: (!! @ (a > $o) @ (^[Y6 : a > $o]: ((?? @ a @ (^[Y7 : a]: ((Y0 @ (Y2 @ Y7 @ Y5)) & (!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8))))))) = (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8)))) & (?? @ a @ (^[Y8 : a]: ((!! @ a @ (^[Y9 : a]: ((!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y8) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9))))))) => (!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y7) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9)))))))))) & (Y0 @ (Y2 @ Y8 @ Y5))))))))))))))))))))))))))),
% 1.60/28.30 inference(cnf_transformation,[status(thm)],[f5])).
% 1.60/28.30 thf(f5,plain,(
% 1.60/28.30 ($true = (~ (!! @ (a > $o) @ (^[Y0 : a > $o]: (!! @ a @ (^[Y1 : a]: (!! @ (a > a > a) @ (^[Y2 : a > a > a]: (!! @ (a > a) @ (^[Y3 : a > a]: (!! @ (a > a) @ (^[Y4 : a > a]: (((((((!! @ (a > $o) @ (^[Y5 : a > $o]: ((?? @ a @ (^[Y6 : a]: ((Y5 @ Y6) & (!! @ a @ (^[Y7 : a]: ((Y5 @ Y7) => (Y5 @ (Y4 @ Y7)))))))) => (Y5 @ Y1)))) & ((Y4 @ Y1) = Y1)) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y3 @ (Y2 @ Y5 @ Y6)) = Y6)))))) & (!! @ a @ (^[Y5 : a]: (!! @ a @ (^[Y6 : a]: ((Y4 @ (Y2 @ Y5 @ Y6)) = Y5)))))) & (!! @ a @ (^[Y5 : a]: ((~ (Y1 = Y5)) = ((Y2 @ (Y4 @ Y5) @ (Y3 @ Y5)) = Y5))))) & ((Y3 @ Y1) = Y1)) => (!! @ a @ (^[Y5 : a]: (!! @ (a > $o) @ (^[Y6 : a > $o]: ((?? @ a @ (^[Y7 : a]: ((Y0 @ (Y2 @ Y7 @ Y5)) & (!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8))))))) = (?? @ a @ (^[Y7 : a]: ((!! @ a @ (^[Y8 : a]: ((!! @ (a > $o) @ (^[Y9 : a > $o]: (((Y9 @ Y7) & (!! @ a @ (^[Y10 : a]: ((Y9 @ Y10) => (Y9 @ (Y4 @ Y10)))))) => (?? @ a @ (^[Y10 : a]: ((Y9 @ Y10) & ((Y3 @ Y10) = Y8))))))) => (Y6 @ Y8)))) & (?? @ a @ (^[Y8 : a]: ((!! @ a @ (^[Y9 : a]: ((!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y8) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9))))))) => (!! @ (a > $o) @ (^[Y10 : a > $o]: (((Y10 @ Y7) & (!! @ a @ (^[Y11 : a]: ((Y10 @ Y11) => (Y10 @ (Y4 @ Y11)))))) => (?? @ a @ (^[Y11 : a]: ((Y10 @ Y11) & ((Y3 @ Y11) = Y9)))))))))) & (Y0 @ (Y2 @ Y8 @ Y5))))))))))))))))))))))))))),
% 1.60/28.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.60/28.30 thf(f4,plain,(
% 1.60/28.30 ~! [X0 : a > a,X1 : a > a,X2 : a > a > a,X3 : a,X4 : a > $o] : ((((X1 @ X3) = X3) & ! [X5 : a] : ((X3 != X5) <=> ((X2 @ (X0 @ X5) @ (X1 @ X5)) = X5)) & ! [X6 : a,X7 : a] : ((X0 @ (X2 @ X7 @ X6)) = X7) & ! [X8 : a,X9 : a] : ((X1 @ (X2 @ X9 @ X8)) = X8) & ((X0 @ X3) = X3) & ! [X10 : a > $o] : (? [X11 : a] : (! [X12 : a] : ((X10 @ X12) => (X10 @ (X0 @ X12))) & (X10 @ X11)) => (X10 @ X3))) => ! [X13 : a > $o,X14 : a] : (? [X15 : a] : (! [X16 : a] : (! [X17 : a > $o] : ((! [X18 : a] : ((X17 @ X18) => (X17 @ (X0 @ X18))) & (X17 @ X15)) => ? [X19 : a] : (((X1 @ X19) = X16) & (X17 @ X19))) => (X13 @ X16)) & (X4 @ (X2 @ X15 @ X14))) <=> ? [X20 : a] : (? [X21 : a] : ((X4 @ (X2 @ X21 @ X14)) & ! [X22 : a] : (! [X23 : a > $o] : ((! [X24 : a] : ((X23 @ X24) => (X23 @ (X0 @ X24))) & (X23 @ X21)) => ? [X25 : a] : (((X1 @ X25) = X22) & (X23 @ X25))) => ! [X26 : a > $o] : ((! [X27 : a] : ((X26 @ X27) => (X26 @ (X0 @ X27))) & (X26 @ X20)) => ? [X28 : a] : (((X1 @ X28) = X22) & (X26 @ X28))))) & ! [X29 : a] : (! [X30 : a > $o] : ((! [X31 : a] : ((X30 @ X31) => (X30 @ (X0 @ X31))) & (X30 @ X20)) => ? [X32 : a] : (((X1 @ X32) = X29) & (X30 @ X32))) => (X13 @ X29)))))),
% 1.60/28.30 inference(rectify,[status(thm)],[f2])).
% 1.60/28.30 thf(f2,negated_conjecture,(
% 1.60/28.30 ~! [X2 : a > a,X3 : a > a,X1 : a > a > a,X0 : a,X4 : a > $o] : ((((X3 @ X0) = X0) & ! [X7 : a] : ((X0 != X7) <=> ((X1 @ (X2 @ X7) @ (X3 @ X7)) = X7)) & ! [X6 : a,X5 : a] : ((X2 @ (X1 @ X5 @ X6)) = X5) & ! [X6 : a,X5 : a] : ((X3 @ (X1 @ X5 @ X6)) = X6) & ((X2 @ X0) = X0) & ! [X8 : a > $o] : (? [X7 : a] : (! [X9 : a] : ((X8 @ X9) => (X8 @ (X2 @ X9))) & (X8 @ X7)) => (X8 @ X0))) => ! [X8 : a > $o,X10 : a] : (? [X5 : a] : (! [X11 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X11) & (X12 @ X14))) => (X8 @ X11)) & (X4 @ (X1 @ X5 @ X10))) <=> ? [X5 : a] : (? [X16 : a] : ((X4 @ (X1 @ X16 @ X10)) & ! [X17 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X16)) => ? [X14 : a] : (((X3 @ X14) = X17) & (X12 @ X14))) => ! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X17) & (X12 @ X14))))) & ! [X15 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X15) & (X12 @ X14))) => (X8 @ X15)))))),
% 1.60/28.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.60/28.30 thf(f1,conjecture,(
% 1.60/28.30 ! [X2 : a > a,X3 : a > a,X1 : a > a > a,X0 : a,X4 : a > $o] : ((((X3 @ X0) = X0) & ! [X7 : a] : ((X0 != X7) <=> ((X1 @ (X2 @ X7) @ (X3 @ X7)) = X7)) & ! [X6 : a,X5 : a] : ((X2 @ (X1 @ X5 @ X6)) = X5) & ! [X6 : a,X5 : a] : ((X3 @ (X1 @ X5 @ X6)) = X6) & ((X2 @ X0) = X0) & ! [X8 : a > $o] : (? [X7 : a] : (! [X9 : a] : ((X8 @ X9) => (X8 @ (X2 @ X9))) & (X8 @ X7)) => (X8 @ X0))) => ! [X8 : a > $o,X10 : a] : (? [X5 : a] : (! [X11 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X11) & (X12 @ X14))) => (X8 @ X11)) & (X4 @ (X1 @ X5 @ X10))) <=> ? [X5 : a] : (? [X16 : a] : ((X4 @ (X1 @ X16 @ X10)) & ! [X17 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X16)) => ? [X14 : a] : (((X3 @ X14) = X17) & (X12 @ X14))) => ! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X17) & (X12 @ X14))))) & ! [X15 : a] : (! [X12 : a > $o] : ((! [X13 : a] : ((X12 @ X13) => (X12 @ (X2 @ X13))) & (X12 @ X5)) => ? [X14 : a] : (((X3 @ X14) = X15) & (X12 @ X14))) => (X8 @ X15)))))),
% 1.60/28.30 file('/export/starexec/sandbox/tmp/tmp.IlCEbYG36D/DTF2THF_334.p',cPU_X238A_pme)).
% 1.60/28.30 thf(f47,plain,(
% 1.60/28.30 spl0_1 | spl0_2),
% 1.60/28.30 inference(avatar_split_clause,[status(thm)],[f37,f45,f42])).
% 1.60/28.30 thf(f37,plain,(
% 1.60/28.30 ($true = (?? @ a @ (^[Y0 : a]: ((sK2 @ (sK4 @ Y0 @ sK7)) & (!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))))))) | ($true = (?? @ a @ (^[Y0 : a]: ((!! @ a @ (^[Y1 : a]: ((!! @ (a > $o) @ (^[Y2 : a > $o]: (((Y2 @ Y0) & (!! @ a @ (^[Y3 : a]: ((Y2 @ Y3) => (Y2 @ (sK6 @ Y3)))))) => (?? @ a @ (^[Y3 : a]: ((Y2 @ Y3) & ((sK5 @ Y3) = Y1))))))) => (sK8 @ Y1)))) & (?? @ a @ (^[Y1 : a]: ((!! @ a @ (^[Y2 : a]: ((!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y1) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2))))))) => (!! @ (a > $o) @ (^[Y3 : a > $o]: (((Y3 @ Y0) & (!! @ a @ (^[Y4 : a]: ((Y3 @ Y4) => (Y3 @ (sK6 @ Y4)))))) => (?? @ a @ (^[Y4 : a]: ((Y3 @ Y4) & ((sK5 @ Y4) = Y2)))))))))) & (sK2 @ (sK4 @ Y1 @ sK7)))))))))),
% 1.60/28.30 inference(binary_proxy_clausification,[status(thm)],[f36])).
% 1.60/28.30 % SZS output end Proof for DTF2THF_334
% 1.60/28.30 % (1468)------------------------------
% 1.60/28.30 % (1468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/28.30 % (1468)Termination reason: Refutation
% 1.60/28.30
% 1.60/28.30 % (1468)Memory used [KB]: 6396
% 1.60/28.30 % (1468)Time elapsed: 0.095 s
% 1.60/28.30 % (1468)Instructions burned: 167 (million)
% 1.60/28.30 % (1468)------------------------------
% 1.60/28.30 % (1468)------------------------------
% 1.60/28.30 % (435)Success in time 27 s
%------------------------------------------------------------------------------